30-60-90 Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The ratio is 1 : √3 : 2, corresponding to the short leg, long leg, and hypotenuse respectively.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The long leg is x√3.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 2x.

Tags

CCSS.8.G.B.8

Front

Find the length of the short leg if the hypotenuse is 12 in a 30-60-90 triangle.

Back

The short leg is 6.

Tags

CCSS.8.G.B.8

Front

Find the length of the long leg if the short leg is 4 in a 30-60-90 triangle.

Back

The long leg is 4√3.

Tags

CCSS.HSG.CO.C.10

Front

What is the length of the hypotenuse if the long leg is 10√3 in a 30-60-90 triangle?

Back

The hypotenuse is 20.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the hypotenuse is 16, what is the length of the short leg?

Back

The short leg is 8.

Tags

CCSS.8.G.B.8

Front

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

Back

The short leg is 3.

Tags

CCSS.HSG.CO.C.10

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