Special Right Triangles

Front

What are the angles in a 45°-45°-90° triangle?

Back

The angles are 45°, 45°, and 90°.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the legs of a 45°-45°-90° triangle?

Back

The legs are congruent and can be represented as x, where the hypotenuse is x√2.

Tags

CCSS.8.G.B.8

Front

What is the formula for the hypotenuse of a 30°-60°-90° triangle?

Back

The hypotenuse is twice the length of the shorter leg (x), so it is 2x.

Tags

CCSS.8.G.B.8

Front

What are the angles in a 30°-60°-90° triangle?

Back

The angles are 30°, 60°, and 90°.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides of a 30°-60°-90° triangle?

Back

The shorter leg is x, the longer leg is x√3, and the hypotenuse is 2x.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a leg in a 45°-45°-90° triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the longer leg in a 30°-60°-90° triangle if the shorter leg is known?

Back

Multiply the length of the shorter leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the value of the hypotenuse in a 45°-45°-90° triangle if each leg is 10?

Back

The hypotenuse is 10√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

What is the value of y in a 45°-45°-90° triangle if one leg is 5?

Back

y = 5.

Tags

CCSS.8.G.B.8