30-60-90 Triangles

Front

What is a 30-60-90 triangle?

Back

A special type of 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 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

How do you find the length of the long leg in a 30-60-90 triangle?

Back

Long leg = short leg * √3.

Tags

CCSS.HSG.CO.C.10

Front

If the long leg of a 30-60-90 triangle is 12√3, what is the length of the short leg?

Back

The short leg is 12.

Tags

CCSS.HSG.CO.C.10

Front

What is the value of x in a 30-60-90 triangle if the short leg is x?

Back

The hypotenuse is 2x and the long leg is x√3.

Tags

CCSS.8.G.B.8

Front

Is a triangle with sides 5, 5√3, and 10 a 30-60-90 triangle?

Back

Yes, it follows the ratio 1 : √3 : 2.

Tags

CCSS.2.G.A.1

Front

What is the area of a 30-60-90 triangle with a short leg of 4?

Back

Area = (1/2) * (short leg) * (long leg) = (1/2) * 4 * (4√3) = 8√3.

Tags

CCSS.6.G.A.1