Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30°, 60°, and 90°. 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 measure 45°, 45°, and 90°. The sides are in the ratio 1:1:√2.

Front

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

Back

The long leg is x√3.

Front

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

Back

The short leg is y/2.

Front

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

Back

The hypotenuse is a√2.

Front

How do you find the length of the short leg in a 30-60-90 triangle if the long leg is known?

Back

Divide the length of the long leg by √3.

Front

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

Back

The sides are in the ratio 1:√3:2, corresponding to the angles 30°, 60°, and 90°.

Front

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

Back

Each leg is c/√2.

Front

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

Back

Area = 1/2 * base * height.

Front

In a 30-60-90 triangle, if the short leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 8.