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 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

How do you find 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 hypotenuse and the short leg in a 30-60-90 triangle?

Back

The hypotenuse is twice the length of the short leg.

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 long leg of a 30-60-90 triangle is 7, what is the length of the short leg?

Back

7/√3.

Front

What is the length of the hypotenuse if the short leg is 5 in a 30-60-90 triangle?

Back

10.

Front

What is the length of the short leg if the hypotenuse is 12 in a 30-60-90 triangle?

Back

6.

Front

What is the formula to find the area of a 30-60-90 triangle?

Back

Area = (1/2) * base * height, where base is the short leg and height is the long leg.

Front

What is the value of the short leg if the hypotenuse is 8 in a 30-60-90 triangle?

Back

4.