Special Right Triangles 30 60 90

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, if the length of the shorter leg (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3' and the hypotenuse is '2x'.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Multiply the length of the shorter leg by √3.

Tags

CCSS.8.G.B.8

Front

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

Back

Multiply the length of the shorter leg by 2.

Tags

CCSS.8.G.B.8

Front

If the shorter leg of a 30-60-90 triangle is 5, what is the length of the longer leg?

Back

5√3.

Tags

CCSS.HSG.CO.C.10

Front

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the shorter leg?

Back

5.

Tags

CCSS.8.G.B.8

Front

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

Back

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

Tags

CCSS.6.G.A.1

Front

If the longer leg of a 30-60-90 triangle is 8√3, what is the length of the hypotenuse?

Back

16.

Tags

CCSS.8.G.B.8

Front

What is the length of the shorter leg if the hypotenuse is 12?

Back

6.

Tags

CCSS.8.G.B.7

Front

In a 30-60-90 triangle, if the longer leg is 4√3, what is the length of the shorter leg?

Back

4.

Tags

CCSS.8.G.B.8