Special Right Triangles

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

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

Back

Multiply the length of the short leg by 2.

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 opposite these angles are equal.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle if one leg is known?

Back

Multiply the length of the leg by √2.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the legs in a 45-45-90 triangle?

Back

The lengths of the two legs are equal.

Tags

CCSS.8.G.B.8

Front

If the length of one leg in a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Tags

CCSS.8.G.B.8

Front

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

Back

The long leg is 4√3.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the long leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the short leg in a 30-60-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by 2.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if the hypotenuse is 8, what is the length of each leg?

Back

Each leg is 8/√2 or 4√2.

Tags

CCSS.8.G.B.8