30 60 90 Triangle

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 sides are in the ratio 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.

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 hypotenuse?

Back

The hypotenuse is 12.

Tags

CCSS.8.G.B.8

Front

If the longer leg of a 30-60-90 triangle is 6√3, what is the length of the short leg?

Back

The short leg is 6.

Tags

CCSS.8.G.B.8

Front

What is the length of the longer leg if the short leg is 3?

Back

The longer leg is 3√3.

Tags

CCSS.HSG.CO.C.10

Front

What is the length of the hypotenuse if the longer leg is 6√3?

Back

The hypotenuse is 12√3.

Tags

CCSS.8.G.B.8

Front

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

Back

The short leg is 5.

Tags

CCSS.8.G.B.8

Front

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

Back

The longer leg is x√3.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is (2/√3)y.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the area of a 30-60-90 triangle?

Back

Area = (1/2) * base * height, where base is the short leg and height is the longer leg.

Tags

CCSS.6.G.A.1