Free Printable Pythagorean Theorem

Worksheets

Pythagorean Theorem - Unit Test A

Total questions: 20

Worksheet time: 10mins

Name

Class

Date

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.

(a)

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?

(a)

(a)

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.

(a)

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

(a)

10.

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

11.

11. Briana’s backsplash in her kitchen is made up of square tiles like the one below. The tiles are white with a black diagonal stripe. Which of the following would help her find x, the length of the black stripe?

12.

12. Find the perimeter of the isosceles triangle.

(a)

13.

13. Find what X is..

(a)

14.

14. Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he walked along x, the diagonal path below?

A. 73 yards

B. 20 yards

C. 53 yards

D. 126 yards

15.

15. Which of the following is closest to the diagonal length between A and B?

A. 15.6 inches

B. 10 inches

C. 244 inches

D. 22 inches

16.

16. Paul is building a bridge for a school project and wants to make a right triangle out of three popsicle sticks that measure 8 cm, 10 cm and 18 cm. Can he make a right triangle out of these lengths?

17.

17. A pyramid has a square base with sides that measure 10 cm and a height of 14 cm. What is the slant height of the pyramid?

A. 17.2 cm

B. 14.9 cm

C. 13.2 cm

D. 12.1 cm

18.

18. In a football drill, Ron stands 30 yards directly east of John, and Bill stands 40 yards directly north of John. If the football is thrown from Ron to Bill and then from Bill to John, how many yards will the football travel?

(a)

19.

19. On the graph A represents Owen's house (1, -9). Point B (5, 1) represents David's house and point C represents the school (-7, 6). How many miles does Owen live from the school?

A. 14.5 miles

B. 25.5 miles

C. 19.21 miles

D. 21 miles

20.

20. On the graph, point A ( 1, -9) represents Owen's house, and Point B (5, 1) represents David's house, and point C (-7, 6) represents the school. Who lives closer to the school, and by how many miles?

A. Owen; 6 miles

B. David; 19.5 miles

C. Owen; 19.5 miles

D. David; 6 miles

100 %

Pythagorean Theorem - Unit Test A

Total questions: 20

Worksheet time: 10mins

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