Sovi AI

Aufgabe

Lösungsschritte

1. Understand the question

   critiquing work
   ellas geometry teacher asked each student to devise a problem and write out its solution. here is ellas work:
   a triangle has side lengths of 10, 11, and 15. what type of triangle is it?
   procedure:
   $10^2 ?? 11^2 + 15^2$
   $100 ?? 121 + 225$
   $100 < 346$
   conclusion:
   this triangle is an acute triangle.

   which statement best summarizes ellas work?
   ○ ellas procedure and conclusion are correct
   ○ ellas procedure is correct, but her conclusion is incorrect
   ○ ellas procedure is incorrect, but her conclusion is correct
   ○ ellas procedure and conclusion are incorrect

2. Explanation

   Step1: Recall triangle type rule

   For sides $a \leq b \leq c$, use:

   • $c^2 < a^2 + b^2$: Acute
   • $c^2 = a^2 + b^2$: Right
   • $c^2 > a^2 + b^2$: Obtuse

   Step2: Identify largest side and squares

   Largest side $c=15$, so $c^2=15^2=225$.
   Smaller sides: $10^2=100$, $11^2=121$.
   Sum: $10^2 + 11^2 = 100 + 121 = 221$

   Step3: Compare values

   $225 > 221$, so $15^2 > 10^2 + 11^2$.

   Step4: Evaluate Ella's work

   Ella used $10^2$ vs $11^2+15^2$ (wrong sides), then incorrectly concluded acute. Her procedure and conclusion are wrong.

3. Final answer

   Ella's procedure and conclusion are incorrect.

Antwort

Question Analysis

OCR Text

critiquing work
ellas geometry teacher asked each student to devise a problem and write out its solution. here is ellas work:
a triangle has side lengths of 10, 11, and 15. what type of triangle is it?
procedure:
$10^2 ?? 11^2 + 15^2$
$100 ?? 121 + 225$
$100 < 346$
conclusion:
this triangle is an acute triangle.

which statement best summarizes ellas work?
○ ellas procedure and conclusion are correct
○ ellas procedure is correct, but her conclusion is incorrect
○ ellas procedure is incorrect, but her conclusion is correct
○ ellas procedure and conclusion are incorrect

Verwandte Themen

Ähnliche Fragen

• use an area model to solve 31 × 26. multiply in the area model.

  Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806

• 6. solve each equation. write each solution as a fraction and as a deci…

  | Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…

• Ok

  - Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …

• How do you solve pemdas

  It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…

• which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$

  \(-15\)

• 11 et 12

  The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…

• Which transformation does not preserve the size of a figure? a. Reflect…

  c. dilation by scale factor of -2 ### Turn 2 Answer

• if a figure is rotated 90 degrees clockwise, what happens to a point at…

  b. It moves to (2,−3).

Sovi AI iOS

Offizielle Website: mysovi.ai. Frage-Seiten laufen auf question-banks.mysovi.ai. Die iOS-App ist im Apple App Store verfügbar.