Special Right 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. The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.8.G.B.8

Front

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

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : √2.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

Multiply the length of one leg by √2.

Tags

CCSS.8.G.B.8

Front

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

Back

4√3.

Tags

CCSS.HSG.CO.C.10

Front

If the hypotenuse of a 45-45-90 triangle is 8√2, what is the length of each leg?

Back

8.

Tags

CCSS.8.G.B.8

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

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

Back

5.

Tags

CCSS.8.G.B.8

Front

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

Back

Short leg : Long leg : Hypotenuse = 1 : √3 : 2.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

6.

Tags

CCSS.8.G.B.8