Special Right Triangles Practice

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The legs are of equal length, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The lengths of the sides are in the ratio 1:√3:2, with the shortest side opposite the 30° angle.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the hypotenuse of a 45-45-90 triangle if you know the length of a leg?

Back

Multiply the length of the leg by √2.

Tags

CCSS.8.G.B.8

Front

How do you find the hypotenuse of a 30-60-90 triangle if you know the length of the short leg?

Back

Multiply the length of the short leg by 2.

Tags

CCSS.8.G.B.8

Front

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

Back

The lengths of the legs are equal.

Tags

CCSS.8.G.B.8

Front

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

Back

Each leg is 10/√2 or 5√2.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the short leg is 4, what is the length of the long leg?

Back

The long leg is 4√3.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 × (length of the short leg).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The short leg is 12/2 = 6.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the other leg in a 45-45-90 triangle?

Back

The other leg is the same length as the given leg.

Tags

CCSS.8.G.B.8