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 sides in a 30-60-90 triangle?

Back

The ratio of the sides is 1 : √3 : 2, where 1 is the short leg, √3 is the long leg, and 2 is the hypotenuse.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The long leg is 'a√3'.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is '2a'.

Tags

CCSS.8.G.B.8

Front

How do you find the short leg if you know the long leg in a 30-60-90 triangle?

Back

Divide the length of the long leg by √3.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the hypotenuse if you know the short leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by 2.

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

If the long 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 formula to find the long leg from the short leg in a 30-60-90 triangle?

Back

Long leg = Short leg × √3.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The hypotenuse is 8.

Tags

CCSS.8.G.B.8