Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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which graph shows the solution to the system of inequalities below? \\(…
The graph with the region below the dashed line \(x + y=3\) (since \(x + y\lt3\)) and above (or on) the solid line \(-5x + 2y = 10\) (since \(-5x+2y\leq10\)) is the correct one.
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a rectangular region is removed from another rectangular region to crea…
\( 51 \)
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5/13 what steps would you take to solve for y? find the number of sides…
The step is to sum the given angles (70°, 60°, 65°, 40°) and then subtract that sum from 360° to find y. So the correct option (from the given choices, assuming one of them is "su…
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(a) an angle measures 51°. what is the measure of its complement? (b) a…
measure of the complement: $39^\circ$ measure of the supplement: $121^\circ$
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not a function, function (with an image of a graph showing a curve open…
Not a Function
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4/13 categorize the following images by what you would use to solve for…
- First triangle (38, 42, x): Pythagorean Theorem - Second triangle (11, x, 48°): \(\tan\) or \(\tan^{-1}\) - Third triangle (21.5, 59°, x): \(\cos\) or \(\cos^{-1}\) - Fourth tri…
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3. triangular garden plot a triangular garden has sides of 18 m and 25 …
### Part (a) # Explanation: ## Step1: Recall Law of Cosines For a triangle with sides \(a\), \(b\), included angle \(C\), the third side \(c\) is given by \(c^{2}=a^{2}+b^{2}-2ab\…
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11.00 11.50 12.00 which number could the point represent? 11.10 11.35 1…
11.35
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categorize the following images by what you would use to solve for x. s…
First image (left): Pythagorean Theorem Second image (middle): tan or \( \tan^{-1} \) (Third image: not fully visible, but based on the given, the first two are categorized as abo…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \( (2, 3) \) Point in final figure: \( (-3, 3) \)
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find the area of the right triangle. 1 unit area = \\square square units
6
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classify the following properties by the most specific shape they apply…
To solve, we match each shape to its defining properties: - **Trapezoid**: "exactly 1 pair of parallel sides" (or "only 1 pair of parallel sides") - **Parallelogram**: "diagonals …
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51/80 the volume of a rectangular prism is v = lwh. if l = 4, w = 3, an…
60
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write the equation of this line in slope-intercept form.
\(y=-5x + 4\)
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for the following right triangle, find the side length x. 20 21
29
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4. m∠1 = m∠2 = m∠3 = 6. m∠1 = m∠2 = m∠3 =
\( m\angle 1 = 30^\circ \), \( m\angle 2 = 84^\circ \), \( m\angle 3 = 53^\circ \) ### Problem 6:
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match the following (there is a right triangle image with right angle a…
If we take \( \sin A \), the answer is \( \frac{15}{17} \); if we take \( \tan A \), the answer is \( \frac{15}{8} \); if we take \( \cos A \), the answer is \( \frac{8}{17} \); i…
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write the equation of this line in slope-intercept form.
$y=-x + 4$
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concentration camp response questions 1. circle statements that are cor…
1. - "The Nazi regime placed all concentration camps in Germany": X (incorrect) - "The Nazi regime murdered over 60% of the Jewish population of Europe": Circle (correct) - "Jewis…
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complex numbers unit test back to intro page how many real solutions ar…
0
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kaitlin wants to plant grass in her backyard. her backyard is in the sh…
62
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find length bc 4.7 cm 26° a b c a4 find
The length of BC is approximately 2.06 cm.
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classify this triangle by its sides. isosceles but not equilateral scal…
isosceles but not equilateral
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find d. right triangle with right angle, one leg labeled 20√3 km, angle…
\(40\)
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for each pair of figures below, choose how they are related. options fo…
First Pair: Rotation Second Pair: Translation Third Pair: Rotation Fourth Pair: Rotation
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find t. right triangle with 30°, 60°, right angle; side adjacent to 30°…
7
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view the similar triangles in the image. select the correct way to set …
The correct option is the second one: \(\frac{14}{6}=\frac{3x - 3}{x + 2}\) (the option with \(\frac{14}{6}=\frac{3x - 3}{x + 2}\))
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write the equation of this line in slope-intercept form.
$y=\frac{1}{8}x + 7$
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classify this triangle by its sides. triangle image with two sides mark…
isosceles but not equilateral
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find u. right triangle with right angle, 60° angle, 30° angle, side lab…
\(3\sqrt{6}\)
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classify this triangle by its sides. isosceles but not equilateral equi…
A. isosceles but not equilateral
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find v. image of a right triangle with a 45° angle, one leg labeled 2 m…
\(\sqrt{2}\)
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find c. image of a right triangle with angles 60°, 30°, right angle, on…
\(3\sqrt{3}\)
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type the correct answer in each box. the graph shows vectors a and b. t…
For \(\mathbf{b} - \mathbf{a}\): \(\langle \boldsymbol{-5}, \boldsymbol{7} angle\) For \(2\mathbf{a} - \mathbf{b}\): \(\langle \boldsymbol{8}, \boldsymbol{-9} angle\)
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find j. triangle with 45°, 45°, right angle, side 17 yd, side j write y…
\( 17\sqrt{2} \)
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write the equation you would set up to solve this problem. do not solve.
\( 31^2 + x^2 = 67^2 \)
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Question was provided via image upload.
\(4.5\)
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solve for x in the triangle. round your answer to the nearest tenth. (t…
\(21.7\)
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use what you know about similar figures to correct rene’s reasoning. th…
For \( QR \times \boldsymbol{1.2} = XY \), \( SR \times \boldsymbol{1.2} = ZY \), and \( PS \times \boldsymbol{1.2} = WZ \). The scale factor for all is \( 1.2 \).
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$\\overline{st} \\parallel \\overline{ru}$. find $tu$. (image of a tria…
\(TU = \boxed{10}\)
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write the equation of this line in slope-intercept form.
\( y = -5x - 3 \)
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the angle measures of △abc are a = 60°, b = 59°, and c = 61°. list the …
\(AC\), \(BC\), \(AB\) (or in standard triangle notation, \(b\), \(a\), \(c\) where \(a = BC\), \(b = AC\), \(c = AB\))
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find hj. hj = submit
\( 69 \)
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a rectangle has an area of ( k^2 + 19k + 60 ) square inches. if the val…
The width of the rectangle is \(k + 4\) inches (the option: The width of the rectangle is \(k + 4\) inches)
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drag the red and blue dots along the x-axis and y-axis to graph $-7x + …
To graph \( -7x + 7y = 28 \) (or \( y = x + 4 \)): - Red dot (x-intercept): Drag to \( (-4, 0) \) (on x-axis, \( x = -4 \), \( y = 0 \)). - Blue dot (y-intercept): Drag to \( (0, …
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use pascals tr (np - 1)^4 =
# Explanation: To expand \((np - 1)^4\) using Pascal's Triangle, we first recall that the coefficients for the 4th power (since the exponent is 4) in Pascal's Triangle are \(1, 4,…
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find the slope of the line.
-1 (corresponding to the option with -1)
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graph the image of the figure using the transformation given. 1) dilati…
For problem 3, the missing side length is \(\boldsymbol{20}\). (If we solve problem 3: scale factor from A to B is \(3:4\), side of A is 15. Let \(x\) be side of B. Then \(\frac{1…
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find d. triangle with right angle, 60° angle, 30° angle, hypotenuse 30 …
\(15\sqrt{3}\)
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find f. √6 km, 45°, 45°, f (right triangle) write your answer in simple…
\(\sqrt{3}\)
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locate 7.428 on the number line. use the slider and zoom button until y…
A point placed at 7.428 on the number line (between 7.4 and 7.5, closer to 7.4).
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write the equation of this line in slope-intercept form.
$y=\frac{1}{2}x + 5$
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find u. triangle image with right angle, 45° angles, 13 km side write y…
\(13\sqrt{2}\)
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what proportion should you set up to check if the triangle are similar?…
The correct proportion is the top blue box: $\frac{12}{16} = \frac{18}{24} = \frac{21}{28}$ (the first option in the image, likely labeled as the top one with the three equal rati…
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multiple choice 10 points determine if each pair of triangles is congru…
SAS ### Question 8 (Second Triangle Pair)
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7 multiple choice 10 points determine if each pair of triangles is cong…
A. SAS ### Question 8
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write the equation of this line in slope-intercept form.
\( y = x - 2 \)
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find the coordinates of the orthocenter of △xyz with vertices x(3, -3),…
\((-1, -4)\)
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find v. right triangle with angles 30°, 60°, 90°, side opposite 30° is …
\( 5\sqrt{3} \)
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use the following graph to answer problems 1–6: complete the table. ans…
1. This line has a positive slope: \(\boldsymbol{B}\) 2. This line has a slope that is zero: \(\boldsymbol{A}\) 3. This absolute value of the slope of this line is 2: Wait, maybe …
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locate 7.428 on the use the slider and zoom button until you find the t…
Place the point at the position corresponding to 7.428 on the number line after zooming in.
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\boxed{-\dfrac{7}{10}}\) (Wait, but maybe I made a mistake in the points. Wait, let's take another pair. Let's say the line passes through \((-10, -2)\)…
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what do you call a duck that steals ? for the first six exercises, find…
To solve for the slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] ### Exercise 7: \((2…
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the area of this rectangle is $5x^2$. what does the coefficient 5 mean …
D. The length is 5 times the width.
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6.3 – angle relationships determine the value of angle x in each diagra…
\(x = 78^{\circ}\)
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multiple choice 10 points from the information in the diagram, can you …
A. Yes, ASA ### Second Question:
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for the given picture, what additional piece of information would be ne…
\(m\angle BAC = m\angle DAC\)
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in the diagram below of $\\triangle age$ and $\\triangle old$, $\\angle…
B. $\overline{AG}\cong\overline{OL}$
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match the following ∠1 and ∠7 ∠1 and ∠4 ∠3 and ∠5 ∠5 and ∠4 vertical an…
- ∠1 and ∠7: Consecutive Exterior Angles - ∠1 and ∠4: Vertical Angles - ∠3 and ∠5: Consecutive Interior Angles - ∠5 and ∠4: Alternate Interior Angles
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state whether $\\triangle abc$ and $\\triangle aed$ are congruent. just…
Yes, either by SSS or SAS ### Second Question (Which pair cannot be proven congruent)
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matching 33 points proof complete the proof. given: \\(\\overline{ab} \…
1. Given 2. Alternate Interior Angles 3. Given 4. Reflexive Property 5. SAS
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write an equation to solve for x do not solve! (there is a right triang…
\(x^{2}+90^{2}=108^{2}\)
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select the correct answer from each drop - down menu. find the results …
For \(-\mathbf{u}-\mathbf{v}\), the result is \(\langle6,-11 angle\); for \(\mathbf{u}-\mathbf{v}\), the result is \(\langle-10,-3 angle\); for \(\mathbf{v}-\mathbf{u}\), the resu…
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question 21 1 pts how many angles, besides the one given, measure 70°? …
# Explanation: ## Step1: Identify Vertical Angles Vertical angles are equal. The angle \(70^\circ\) has a vertical angle \(c\) (since they are opposite each other when two lines i…
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write the ratio for sin x. triangle with right angle at i, sides: iz=6,…
$\frac{3}{5}$ (or $\frac{6}{10}$)
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given: $overline{nq}$ is the bisector of $angle mnp$ and $angle nmq con…
- Statement 2: Definition of angle bisector - Statement 4: Reflexive Property - Statement 5: AAS - Segment \(MN\) is congruent to segment \(PN\): CPCTC
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yes no write a similarity statement. △□ ~ △
\( \triangle IHK \sim \triangle IGJ \) (or if the correct triangles are \( \triangle IHK \) and \( \triangle IGJ \), but maybe the intended answer is \( \triangle IHK \sim \triang…
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question 22 1 pts in the figure, ( bd parallel eg ) and the measure of …
\( 115^\circ \) (the option with \( 115^\circ \))
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type the correct answers in each box. the graph shows vectors w and z. …
For \( \mathbf{W} - \mathbf{Z} \): \(-7\), \(-3\); for \( \mathbf{Z} - \mathbf{W} \): \(7\), \(3\)
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what is the y - intercept of each graph? graph 1 graph 2 the y - interc…
8
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graph the linear equation $y = \\frac{1}{2}x - 2,$ | x | y | |----|----…
The graph is a straight line passing through the points \((0, -2)\) and \((2, -1)\) (drawn on the given coordinate plane).
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if w = <3.5, -6> and z = <-1.5, -4>, what is the resulting vector for 2…
C. \(\langle 8.5, -8 angle\)
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5. find the slope of the line below.
\(\frac{1}{2}\)
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what is the slope of the line that passes through (-7, 2) and (4, 5)? m…
\(\frac{3}{11}\)
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given: △uxw and △uvw are right △s. ux ≅ uv prove: ∠x ≅ ∠v (there is a d…
1. Reason: Given 2. Reason: Given 3. Reason: Reflexive Property of Congruence 4. Reason: HL Congruence Theorem 5. Reason: CPCTC
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in the diagram, $ell_1$ is parallel to $ell_2$. if the measure of $angl…
D. 113° (assuming the options are labeled A to D, with D being 113°; if the options are as given, the last option is 113°, so the answer is the option with 113°)
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which rule explains why these scalene triangles are similar? (image of …
AA
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directions: choose the words or phrases that you think most effectively…
1. paved with (road material) 2. jagged (stone description) 3. cut (effect on shoes) 4. seared (ankle pain) 5. slime (river surface) 6. lazily (bird movement) 7. grey (sky color) …
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17 multiple choice 5 points given the diagram below, which must be true…
B. \( \triangle XSF \cong \triangle XTG \) (assuming the second option is labeled as B, with text \( \triangle XSF \cong \triangle XTG \))
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which rule explains why these triangles are similar? f 34 h 44 40 g t 4…
none of the above; the triangles cannot be proven similar
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if a represents \two angles are vertical angles\ and b represents \the …
The second option (the one with \( b \vee eg a \) or \( eg a \vee b \))
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bugs bunny was 42 meters below ground, digging his way toward albuquerq…
$24.8$
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3. we wish to determine if the pair of triangles on the coordinate plan…
\(2\sqrt{13}\)
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the formula that relates the length of a ladder, l, that leans against …
14.6 feet (corresponding to the option "14.6 feet")
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write an equation to solve for x. do not solve! (right triangle with ri…
\(x^{2}+90^{2}=106^{2}\)
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sin x write the ratio for sin x. (image of a right triangle with right …
$\frac{3}{5}$ (or $\frac{6}{10}$)
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the people of bridgetown wanted to build a bridge across a nearby river…
70.57
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match the following ∠3 and ∠5 ∠5 and ∠4 ∠1 and ∠4 ∠1 and ∠7 vertical an…
- $\angle3$ and $\angle5$: Vertical Angles - $\angle5$ and $\angle4$: Consecutive Interior Angles - $\angle1$ and $\angle4$: Alternate Interior Angles - $\angle1$ and $\angle7$: C…
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which rule explains why these triangles are similar? options: sss, sas,…
SAS
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match the following side lengths with the type of triangle they create.…
- \(3, 5, 9\) → Not a triangle - \(3, 5, 4.5\) → Acute triangle - \(4, 4, 7\) → Obtuse triangle - \(5, 12, 13\) → Right triangle