MC: 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.

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.

Front

What is the hypotenuse in a right triangle?

Back

The longest side of a right triangle, opposite the right angle.

Front

What is a leg in a right triangle?

Back

One of the two shorter sides of a right triangle that form the right angle.

Front

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

Back

The length of the side opposite the 30-degree angle is half the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the shorter leg.

Front

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

Back

The lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

Front

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

Back

Multiply the length of the shorter leg (opposite the 30-degree angle) by 2.

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 (opposite the 30-degree angle) by √3.

Front

What type of triangle is formed by angles of 45°, 45°, and 90°?

Back

A 45-45-90 triangle.

Front

What type of triangle is formed by angles of 30°, 60°, and 90°?

Back

A 30-60-90 triangle.