Pythagorean Theorem Word Problems

The bottom of a ladder must be placed 3 feet from the wall. The ladder is 12 feet long. How far above the ground, does the ladder touch the wall?

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CCSS.HSG.SRT.C.8

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

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CCSS.HSG.SRT.C.8

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?

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CCSS.HSG.SRT.C.8

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long. What is the horizontal distance from the end of the ramp to the back of the truck?

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

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CCSS.HSG.SRT.C.8

Two joggers run 12 miles north and then 16 miles west. What is the shortest distance to reach their starting point?

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CCSS.HSG.SRT.C.8

To avoid the pond, Fred must walk 10 meters south and 24 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8