Special Right Triangles and Pythagorean Theorem

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easy calculation of side lengths. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.

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CCSS.HSG.CO.C.10

Front

What are the side ratios of a 45-45-90 triangle?

Back

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CCSS.8.G.B.8

Front

What are the side ratios of a 30-60-90 triangle?

Back

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CCSS.HSG.CO.C.10

Front

What is the Pythagorean Theorem?

Back

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CCSS.8.G.B.8

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side, use the Pythagorean Theorem. Rearrange the formula to solve for the unknown side.

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CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 10, what is the length of the hypotenuse?

Back

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CCSS.8.G.B.8

Front

What is the length of the diagonal of a square with side length 9?

Back

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CCSS.8.G.B.8

Front

If the hypotenuse of a 30-60-90 triangle is 16, what is the length of the shorter leg?

Back

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CCSS.8.G.B.8

Front

What is the relationship between the sides of a square and its diagonal?

Back

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CCSS.8.G.B.8

Front

How do you calculate the area of a right triangle?

Back

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CCSS.6.G.A.1