Special Right Triangles & Radical Properties

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

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° angle) by 2 to find the hypotenuse.

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° angle) by √3.

Front

What is the formula for simplifying radicals?

Back

To simplify a radical, factor out perfect squares from under the radical sign.

Front

What is the result of 3√6 - 4√6?

Back

-√6

Front

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

Back

The lengths of the legs are equal.

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.

Front

What is the value of √2?

Back

Approximately 1.414.

Front

What is the value of √3?

Back

Approximately 1.732.