Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

What is the relationship between the legs in 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 a leg by √2.

Front

What is a 30-60-90 triangle?

Back

A special right triangle with angles of 30°, 60°, and 90°.

Front

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

Back

The lengths of the sides are in the ratio 1 : √3 : 2.

Front

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

Back

The longer leg is x√3.

Front

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

Back

The hypotenuse is 2x.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

In a 45-45-90 triangle, if one leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 10.