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Pythagorean Theorem Quiz

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Pythagorean Theorem Quiz

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📚 Part 1: Multiple Choice (Choose one)

I can: Use the Pythagorean theorem to find missing side lengths and apply it to 3D diagonals. Success criteria: I can identify legs and hypotenuse, substitute values, and simplify square roots.
1. A right triangle has legs 6 and 8. The length of the hypotenuse is:

10

14

20

12

2. In a right triangle the hypotenuse is 13 and one leg is 5. The other leg is:

12

8

10

9

3. Which set of side lengths could be the sides of a right triangle?

9, 40, 41

6, 8, 15

5, 12, 13.5

7, 7, 10

4. A 15-ft ladder leans against a wall and reaches 12 ft high. How far from the wall is the base of the ladder (to nearest tenth)?

9 ft

7.5 ft

12.5 ft

6 ft

✏️ Part 2: Short Answers & Applications

5. Find the missing leg. Hypotenuse = 17, one leg = 8. Show your answer (exact value):
6. (3D application) A rectangular box measures 6 in by 8 in by 10 in. Find the length of the longest diagonal inside the box (exact form or decimal):
7. In one sentence, explain what the Pythagorean theorem tells us about right triangles:
8. Challenge: Determine whether a triangle with side lengths 7, 24, 25 is a right triangle. Explain your reasoning briefly:
Supports, differentiation, and extensions (brief):

Differentiation: Provide a formula sheet, guided step-by-step examples, or use a calculator for square roots. For students needing more scaffolding, offer one problem at a time with prompts.

Extension: Ask advanced students to derive the space diagonal formula for a box and apply the theorem to find distances in coordinate geometry.

Dyslexia-friendly options: Provide extra spacing, read problems aloud, highlight numbers and keywords, and allow colored overlays or audio support.

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