Flashcard Practice - Special Right Triangles

Front

What type of special triangle has angles of 45°-45°-90°?

Back

This is a 45°-45°-90° triangle, which is an isosceles right triangle.

Tags

CCSS.4.G.A.2

Front

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

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 45°-45°-90° triangle?

Back

In a 45°-45°-90° triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the short leg is 5?

Back

The hypotenuse is 10.

Tags

CCSS.8.G.B.8

Front

What are the side lengths in a 30-60-90 triangle if the short leg is 4?

Back

Short leg = 4, Long leg = 4√3, Hypotenuse = 8.

Tags

CCSS.8.G.B.8

Front

What is the formula for the hypotenuse in a 45°-45°-90° triangle?

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

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

Back

The long leg is 6√3.

Tags

CCSS.8.G.B.8

Front

What is the length of the short leg in a 30-60-90 triangle if the hypotenuse is 12?

Back

The short leg is 6.

Tags

CCSS.8.G.B.8

Front

In a 45°-45°-90° triangle, if one leg is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

Front

What are the angles in a 30-60-90 triangle?

Back

The angles are 30°, 60°, and 90°.

Tags

CCSS.HSG.CO.C.10