1/11 Special Right Triangles Flashcard

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

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the legs are equal in length, and the hypotenuse is √2 times the length of each leg.

Front

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

Back

The long leg is equal to the length of the short leg multiplied by √3.

Front

What is the formula for the hypotenuse 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

The long leg is 4√3.

Front

Back

Front

How do you calculate the hypotenuse in a 45-45-90 triangle?

Back

The hypotenuse is equal to the length of a leg multiplied by √2.

Front

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

Back

Each leg is 8/√2 or 4√2.

Front

What is the formula for finding 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

The short leg is 10/2 = 5.