Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.8.G.B.8

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides opposite these angles are equal. The sides are in the ratio 1 : 1 : √2.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the length of the short leg is 6, what is the length of the long leg?

Back

The long leg is 6√3.

Tags

CCSS.HSG.CO.C.10

Front

In a 45-45-90 triangle, if the length of one leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Tags

CCSS.8.G.B.8

Front

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

Back

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

Tags

CCSS.8.G.B.8

Front

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

Back

Leg = Hypotenuse / √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 short leg?

Back

The short leg is 6.

Tags

CCSS.8.G.B.8

Front

If the length of one leg in a 45-45-90 triangle is 11, what is the length of the hypotenuse?

Back

The hypotenuse is 11√2.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the long leg is 3√3, what is the length of the short leg?

Back

The short leg is 3.

Tags

CCSS.8.G.B.8

Front

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

Back

The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.HSG.CO.C.10