Unit 4 Flashcard - 30 60 90

Front

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle is 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 a 45-45-90 triangle?

Back

A 45-45-90 triangle is 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 30-60-90 triangle?

Back

The length of the hypotenuse is twice the length of the shortest side (the side opposite the 30-degree angle).

Front

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

Back

The length of the longer leg is equal to the length of the shorter leg multiplied by √3.

Front

If the shorter leg of a 30-60-90 triangle is 3, what is the length of the hypotenuse?

Back

The hypotenuse is 6.

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 relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

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

Front

How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √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 longer leg is 3√3, what is the length of the shorter leg?

Back

The shorter leg is 3.