Special Right Triangles Review

Front

What are the two types of special right triangles?

Back

45°-45°-90° triangle and 30°-60°-90° triangle.

Front

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

Back

The legs are congruent.

Front

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

Back

The hypotenuse is a√2.

Front

In a 30°-60°-90° triangle, what is the ratio of the lengths of the sides?

Back

1 : √3 : 2 (short leg : long leg : hypotenuse).

Front

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

Back

The long leg is n√3.

Front

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

Back

The hypotenuse is 2n.

Front

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

Back

Area = (1/2) * base * height.

Front

In a right triangle, what is the Pythagorean theorem?

Back

a² + b² = c², where 'c' is the hypotenuse.

Front

What is the length of the hypotenuse in a 45°-45°-90° triangle if each leg is 5?

Back

The hypotenuse is 5√2.

Front

If the hypotenuse of a 30°-60°-90° triangle is 10, what is the length of the short leg?

Back

The short leg is 5.