Pythagorean Theorem Word Problem

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other? Which equation could be used to solve the problem?

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew? Which equation could be used to solve the problem?

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? Which equation could be used to solve the problem?

The hypotenuse of a right triangle is 12 feet and one of its legs is 3 feet. What is the length of the other leg? Which equation could be used to solve the problem?

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

• 24.5 ft

• 25.5 ft

• 26.5 ft

• 23.5 ft

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 diagram best represents the problem?

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A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

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?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2