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, commonly the 45-45-90 triangle and the 30-60-90 triangle.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

In a 45-45-90 triangle, the side lengths are in the ratio 1:1:√2.

Tags

CCSS.8.G.B.8

Front

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

Back

In a 30-60-90 triangle, the side lengths are in the ratio 1:√3:2.

Tags

CCSS.8.G.B.8

Front

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

Back

Multiply the length of one leg by √2 to find the hypotenuse.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the longer leg in a 30-60-90 triangle?

Back

Multiply the length of the shorter leg by √3 to find the longer leg.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the shorter leg in a 30-60-90 triangle?

Back

Divide the length of the longer leg by √3 to find the shorter leg.

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

Back

The hypotenuse is 6√2.

Tags

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 is 6.

Tags

CCSS.8.G.B.8

Front

If the longer leg of a 30-60-90 triangle is 9√3, what is the length of the hypotenuse?

Back

The hypotenuse is 18.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the area of a right triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1