30-60-90 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.

Tags

CCSS.HSG.CO.C.10

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio of the lengths of the sides opposite the 30°, 60°, and 90° angles is 1 : √3 : 2.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The long leg is 6√3.

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

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

Back

Hypotenuse = 2 * (short leg).

Tags

CCSS.8.G.B.8

Front

If the long 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

In a 30-60-90 triangle, if the short leg is represented as 'a', what is the expression for the long leg?

Back

Long leg = a√3.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

Back

The short leg is 5.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the angles and sides in a 30-60-90 triangle?

Back

The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the short leg multiplied by √3.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The long leg is 4√3.

Tags

CCSS.HSG.CO.C.10