The Pythagorean Theorem

What is the length of the hypotenuse in the triangle?

• A. 10

• B. 17

• C. 100

• D. 64

What is the value of x? Round to the nearest tenth, if necessary.

• A. x = 8

• B. x≈ 8.5

• C. x≈ 7.6

• D. x≈ 6.3

What is the length of c on the graph below?

• A. 6

• B. 8

• C. 10

• D. 14

Which of the following could be side lengths of a right triangle? Choose all that apply.

• A. 3, 4, 5

• B. 5, 12, 13

• C. 7, 24, 25

• D. 6, 8, 10

What is the approximate distance between the points (9, 2) and (4, 8)?

• A. 31

• B. 16.4

• C. 7.8

• D. 3.3

Mark thinks 6, 12 and 13 are side lengths of a right triangle. Do you agree or disagree?

• Agree

• Disagree

Stacy has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 5 feet from the base of the wall. How high, to the nearest foot, will the ladder be able to reach on the wall?

• A. 10

• B. 11

• C. 12

• D. 13

Becky is mailing her friend a gift. She has a box that measures 26 inches by 11 inches by 8 inches.

What is the maximum length, in whole inches (round to the nearest whole), the gift can be to still fit in the box?

• A. 28 inches

• B. 29 inches

• C. 30 inches

• D. 31 inches

Penny leaves home and walks 12 blocks east and 20 blocks north to get to the library.

How far is the library from Penny’s home if she were to take a direct path?

If necessary, round to the nearest tenth.

• A .≈ 23.3 blocks

• B. ≈ 24.2 blocks

• C. ≈ 21.3 blocks

• D. ≈ 16.2 blocks

Jonah planted a garden in his backyard in the shape of a right triangle. The two legs of the triangle are 12 feet each.

Fencing costs $5 per foot. How much will it cost to fence the entire perimeter of the garden?

• A. Approximately $140

• B. Approximately $288

• C. Approximately $250

• D. Approximately $205