Pythagorean Theorem

A board was nailed diagonally across the end of a square platform used at construction sites. Which of the following is closest to the length of the board?

• 28 feet

• 25 feet

• 20 feet

• 23 feet

Maxine ran a 13-foot string of lights from the base of a tree to the top of a 12-foot pole. How far was the base of the tree from the pole?

• 1 ft

• 5 ft

• 8 ft

• 25 ft

Mrs. Roberts, the homemaking teacher, drew the following diagram for her class. What is the length of the distance between the chair and the end table to the nearest tenth of a foot?

• 8.9 ft

• 9.9 ft

• 10.4 ft

• 23.4 ft

The length of the diagonal of a television screen is 20 inches and the height of the screen is 12 inches. Which of the following is the width of the television screen?

• 6 in

• 14 in

• 16 in

• 25 in

Stanley started at point P and drove 13 miles south to point Q, then he drove east to point R, where he is 58 miles from his starting point. Which best represents the distance from point R to point Q?

• 45 mi

• 56.5 mi

• 51 mi

• 53 mi

Which of the following could be the lengths of the sides of the right triangle?

• 6 ft, 5 ft, 8 ft

• 10 ft, 24 ft, 26 ft

• 12 ft, 4 ft, 13 ft

• 14 ft, 18 ft, 24 ft

Lucy walked from her home to the post office and then to the bank as shown. The post office is 5 miles from Lucy's home. What is the shortest distance Lucy can walk to return home?

• 12 miles

• 13 miles

• 14 miles

• 17 miles

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the length of the hypotenuse?

• 34.2 inches

• 36 inches

• 41.8 inches

• 36.7 inches

An 8-foot piece of metal is leaning against the wall of a garage. The bottom of the piece of metal is 4 feet from the base of the wall. Which best describes how high up the wall of the garage it is the top of the piece of metal?

• 4 feet

• A few inches less than 7 feet

• A few inches more than 7 feet

• A few inches less than 9 feet

The side view of a roof is shown. What is x, the height of the roof to the nearest tenth of a foot?

• 8.9 ft

• 33.7 ft

• 17.0 ft

• 13.6 ft