SPECIAL RIGHT TRIANGLES

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30°, 60°, and 90°. 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 the ratio of the sides in a 30-60-90 triangle?

Back

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

What is a 45-45-90 triangle?

Back

A special right triangle where the angles measure 45°, 45°, and 90°. The legs are congruent, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle if the 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 legs are equal.

Tags

CCSS.8.G.B.8

Front

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

Back

4√2.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the long leg is known, how do you find the short leg?

Back

Divide the length of the long leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the measure of the angles in a 30-60-90 triangle?

Back

30°, 60°, and 90°.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

5.

Tags

CCSS.8.G.B.8