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

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

Back

Multiply the length of the short leg by √3.

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 45-45-90 triangle if the leg length is known?

Back

Multiply the length of the leg by √2.

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the long leg?

Back

4√3.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2, what is the length of each leg?

Back

8.

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 hypotenuse is 10, what is the length of the short leg?

Back

5.

Front

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

Back

Short leg : Long leg : Hypotenuse = 1 : √3 : 2.

Front

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

Back

n√3.