Pythagorean Word Problems

Daniel rides his bicycle 21 km west and then 18 km north. How far is he from his starting point?

A rectangle is put together by two triangles. The hypotenuse is 11 cm and width of 8 cm. Find the height of the triangle.

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the hypotenuse of a triangle that has a 13 cm leg and a height of 7 cm.

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

In a right-triangle shaped house, the roof is 51 feet long and the base of the house is 29 feet across. Calculate the height of the house.

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CCSS.HSG.SRT.C.8

John is trying to determine the length of the staircase he will need for a deck that is 12 feet high. He wants to start the stairs 21 feet from the deck.

A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the hypotenuse of a triangle that has an 8 cm width and a height of 12 cm.

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CCSS.HSG.SRT.C.8

The bottom of a ladder must be placed 5 feet from a building. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the width of a triangle that has a 15 cm height and a hypotenuse of 19 cm.

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 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