Special Right Triangles!

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios. The two most common 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

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

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CCSS.8.G.B.8

Front

If one leg of a 30-60-90 triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 10, since it is twice the length of the shorter leg.

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CCSS.HSG.CO.C.10

Front

What is the formula for the area of a triangle?

Back

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CCSS.6.G.A.1

Front

In a 45-45-90 triangle, if the legs are each 9, what is the length of the hypotenuse?

Back

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CCSS.8.G.B.8

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?

Back

The shorter leg (opposite the 30° angle) is 6.

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CCSS.8.G.B.8

Front

What is the Pythagorean theorem?

Back

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CCSS.8.G.B.8

Front

How do you solve for a missing side in a right triangle using the Pythagorean theorem?

Back

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CCSS.8.G.B.7