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 sides are in the ratio 1 : √3 : 2, corresponding to the angles 30° : 60° : 90°.

Tags

CCSS.HSG.CO.C.10

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 4?

Back

The hypotenuse is 8.

Tags

CCSS.8.G.B.8

Front

If the longer leg of a 30-60-90 triangle is represented as 'v', what is the relationship between 'v' and the shorter leg?

Back

The longer leg 'v' is equal to the shorter leg multiplied by √3.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of the shorter leg in a 30-60-90 triangle if the hypotenuse is 10?

Back

The shorter leg is 10/2 = 5.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the longer leg?

Back

The longer leg is 12 * √3 / 2 = 6√3.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the longer leg in a 30-60-90 triangle?

Back

Longer leg = shorter leg * √3.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the longer leg is 10√3, what is the length of the shorter leg?

Back

The shorter leg is 10.

Tags

CCSS.8.G.B.8

Front

What is the area of a 30-60-90 triangle with a shorter leg of length 6?

Back

Area = (1/2) * base * height = (1/2) * 6 * 6√3 = 18√3.

Tags

CCSS.6.G.A.1

Front

If the shorter leg of a 30-60-90 triangle is 'u', what is the length of the hypotenuse?

Back

Hypotenuse = 2u.

Tags

CCSS.HSG.CO.C.10