Question

18 multiple choice 1 point
what is the pythagorean theorem?
\\(a^2 + b^2 = c^2\\)
\\(a + b = c^2\\)
none of the above
\\(c^2 + b^2 = a^2\\)
\\(\sqrt{a^2 + b^2} = c^2\\)

19 true or false 1 point
the distance between \\((3, 5)\\) and \\((7, 9)\\) is 4 or \\(\sqrt{16}\\)
true
false

20 multiple choice 1 point
find the hypotenuse of a right triangle with these side lengths:
side lengths: 30, 40
55
40
50
45

Explanation:

Identify the Pythagorean Theorem

$$ a^2 + b^2 = c^2 $$

Calculate the distance between points

$$
LATEXBLOCK0
$$

Calculate the hypotenuse of the right triangle

$$
LATEXBLOCK1
$$

Answer:

Question 18

• (A) \(a^2 + b^2 = c^2\) (Correct answer)
• (B) \(a + b = c^2\)
• (C) None of the above
• (D) \(c^2 + b^2 = a^2\)
• (E) \(\sqrt{a^2 + b^2} = c^2\)

Question 19

• (A) True
• (B) False (Correct answer)

Question 20

• (A) 55
• (B) 40
• (C) 50 (Correct answer)
• (D) 45