Pythagorean Theorem: Finding the Missing Leg

John is building a model house and needs to construct a right-angled triangle roof. If the height of the roof measures 5 meters and the slant height (hypotenuse) is 13 meters, what is the length of the other side of the roof?

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• 7

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• 12

Tags

CCSS.8.G.B.8

A right-angled triangle has one leg measuring 8 and the hypotenuse measuring 17. What is the length of the other leg?

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• 12

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Tags

CCSS.8.G.B.7

If the length of one leg in a right-angled triangle is 12 and the length of the hypotenuse is 13, what is the length of the missing leg?

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• 5

Tags

CCSS.8.G.B.7

John is planning to build a small wooden ramp for his garage. The ramp will form a right-angled triangle with the ground. If the length of the ramp (hypotenuse) is 17 feet and one side along the ground is 15 feet, what is the length of the vertical side of the ramp?

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• 8

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• 12

Tags

CCSS.8.G.B.7

A construction team is working on a triangular support beam for a new bridge. The beam is designed with a right angle, and one of the legs measures 9 meters. If the length of the hypotenuse is 15 meters, what is the length of the other leg?

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• 12

• 6

Tags

CCSS.8.G.B.8

A mountain road forms a right-angled triangle with the ground. If the elevation gain (one leg) is 7 miles and the road (hypotenuse) is 25 miles long, what is the horizontal distance (the missing leg) of the road?

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Tags

CCSS.8.G.B.7

In a right-angled triangle, if the length of one leg is 20 and the length of the hypotenuse is 29, what is the length of the missing leg?

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• 25

Tags

CCSS.8.G.B.7

A right-angled triangle has one leg measuring 16 and the hypotenuse measuring 33. What is the length of the other leg?

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• 25

• 29

• 20

Tags

CCSS.8.G.B.7

John is building a ladder for his treehouse. If the ladder goes 21 feet up the tree and the length of the ladder is 29 feet, how far is the base of the ladder from the tree?

• 25

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• 30

• 15

Tags

CCSS.8.G.B.8

In a right-angled triangle, if the length of one leg is 24 and the length of the hypotenuse is 25, what is the length of the missing leg?

• 15

• 20

• 7

• 10

Tags

CCSS.8.G.B.7