Pythagorean Theorem Quiz

Name:

Date:

📚 Part 1: Multiple Choice

Learning targets

I can use the Pythagorean Theorem to find a missing leg or hypotenuse and solve real-world distance problems.

Success criteria: I can (1) identify right triangles, (2) substitute values into a^2 + b^2 = c^2, and (3) show work and units.

Differentiation: Provide a formula sheet and worked example for students who need it. Use manipulatives or a calculator as needed.

Extension: Try problems with non-integer results or apply to 3D distances. Dyslexia-friendly: Read each problem aloud, use larger font, and allow extra time.

1. A right triangle has legs 3 and 4. What is the hypotenuse?

√13

2. If the hypotenuse is 13 and one leg is 5, the other leg is:

√144

3. A 20 ft ladder leans against a wall and the base is 12 ft from the wall. How high does the ladder reach?

16 ft

8 ft

18 ft

15 ft

4. Check all sets of side lengths that could form a right triangle.

(5, 12, 13)

(6, 8, 10)

(7, 24, 25)

(7, 7, 7)

✏️ Part 2: Short Answer & Problem Solving

5. A courier travels 6 miles east, then 8 miles north. What is the straight-line distance from start to finish? Show your work and label units.

6. Find the missing leg: c = 25, a = 15. Show algebra and answer with units.

7. A flat-screen TV is 48 inches wide and 27 inches tall. Find the diagonal length to the nearest tenth of an inch.

8. Design task: You plan a right-triangle garden with legs 9 ft and 12 ft. Draw a labeled sketch to scale and write the hypotenuse length. (Use the box below for your sketch.)

9. Reflection (short): Describe one strategy you used to check your answers for accuracy (one or two sentences).