Pythagorean Theorem - Unit 5

1. Which of the following is not a true statement about the sides of a right triangle?

• A. The hypotenuse is the longest side.
• B. The legs are the sides adjacent to the 90° angle.
• C. Side “a” is always longer than side “b”.
• D. The hypotenuse is opposite the 90° angle.

2. Raquiem needs to know if the triangle shown is a right triangle. Which equation could he use to help?

• 
• 
• 
• 

3. Find x, the missing side length in the right triangle.

4. Which of the following could be the areas of the three squares shown?

• 
• 
• 
• 

5. Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the diagonal length of the table top?

7. A cone-shaped play tent has a radius of 4 feet and a slant height of 7 feet. If Joe is six feet tall, which of the following statements is true?

• A. Joe is shorter than the tent.
• B. Joe is taller than the tent.
• C. Joe is the same height as the tent.
• D. There is not enough information to determine if Joe is shorter or taller than the tent.

8. Find the perimeter of the trapezoid.

9. The three squares below join together to form a right triangle. The area and the perimeter for two of the squares are shown. Find x, the side length of the largest square.

10. Which of the following could NOT be the side lengths of a right triangle?

• A. 7.5, 10 and 12.5
• B. 85, 13 and 84
• C. 37, 35 and 12
• D. 24, 22 and 40