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

Back

In a 30-60-90 triangle, the side opposite the 30° angle is 'x', the side opposite the 60° angle is 'x√3', and the hypotenuse is '2x'.

Front

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

Back

In a 45-45-90 triangle, both legs are of equal length 'x', and the hypotenuse is 'x√2'.

Front

If the shorter leg of a 30-60-90 triangle is 5, what is the length of the longer leg?

Back

The longer leg is 5√3.

Front

If the legs of a 45-45-90 triangle are each 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√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.

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 the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the base of a triangle is 6 and the height is 4, what is the area?

Back

The area is 12.