Pythagorean Theorem Word Problems Practice with Images

Carter wants to build a ramp that has a vertical height of 5.25 ft tall and a horizontal length of 25.75 ft. How long is the diagonal part of the ramp? Round to the nearest tenth if necessary.

• 26.3 ft

• 27 ft

• 31 ft

• 20.5 ft

A pool table is 9 feet long and 5 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket? Round to the nearest tenth if necessary.

• 10.2 ft

• 10.3 ft

• 106 ft

• 14 ft

The course for a local mud race has the shape of a right triangle. The legs consist of a 2 mile obstacle course on foot and a 4 mile swim course. What is the distance of the cycling course? Round to the nearest tenth if necessary.

• 4.4 miles

• 4.5 miles

• 10 miles

• 6 miles

Jarvis drives due North for 32 miles then drives East 17 miles. How far is Jarvis from his starting point? Round to the nearest tenth if necessary.

• 36.2 miles

• 36.3 miles

• 49 miles

• 15 miles

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

The top of a ladder is leaning against a vertical wall, 12 feet above the floor. The bottom of the ladder is resting on the floor, 9 feet from the base of the wall. How long is the ladder?

• 15 feet

• 17 feet

• 19 feet

• 21 feet

Find h

• 35.60

• 35.00

• 35.71

• 61.03

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? Which equation could be used to solve the problem?

Find side "h" (wall height)

• 35.60

• 35.00

• 35.71

• 61.03

Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 

• 352 feet 

• 31.6 feet 

• 44 feet 

• 6.6 feet