Name: _________________________________ Date: ____________________ Core: 1 2 3

Take 2 Pythagorean Theorem Assesment

1. A rectangular park has been constructed in downtown Durham. The rectangular park is 104 yards long. A straight walkway crossing the park diagonally from one corner to another is 130 yards long. What is the width, in yards, of the park?

2. A desk tidy is shaped like a cylinder, height 18 cm and diameter 10 cm as shown. A pencil that is 24 cm long rests inside. What length of the pencil is above the top of the cylinder?

3. Jordan regularly takes a short-cut across Mr. Robert’s lawn instead of walking on the sidewalk on his way home from school. How much distance is saved by Jordan cutting across the lawn?

4. The designer of drink cartons must consider the length of straw required so that it will reach the bottom of the carton. What is the shortest length that the straw could be so that it fits as shown below?

5. What is the distance of the top of the tree to its shadow?

6. What is the approximate length of side x?

A. 12 cm B. 14 cm C. 18 cm D. 22 cm

7. Ashley purchased the rug shown below.

What is the diagonal measurement of the rug?

A. 10 ft. B. 14 ft. C. 20 ft. D. 28 ft.

8. Allison purchased a piece of land shaped like a right triangle. The property line measures 390 ft. in one direction and 250 ft. in another direction, as shown below.

Approximately how feet of fencing will Allison need to completely enclose her property?

A. 890 ft. B. 940 ft. C. 1,030 ft. D. 1,100 ft.

9. Triangle JKL shown below. What is the approximate perimeter of JKL?

A. 18 units B. 20 units C. 22 units D. 24 units

10. A sail on a boat is in the shape of a right triangle. The longest side of the sail measures 10 yards. Another side of the sail measures 8 yards. What is the length of the third side of the sail?

A. 12 yards B. 9 yards C. 6 yards D. 4 yards

11. What is the diameter of the circle?

A. 6 units B. 7 units C. 7.5 units D. 8.5 units