Right Triangle Review

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 hypotenuse in a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by 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

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

Back

The short leg is half the hypotenuse, and the long leg is the short leg multiplied by √3.

Front

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

Back

8 (4 multiplied 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 (4 multiplied by √3).

Front

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

Back

Area = 1/2 * base * height.

Front

In a right triangle, what is the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the sine of a 30-degree angle in a right triangle?

Back

1/2.

Front

What is the cosine of a 30-degree angle in a right triangle?

Back

√3/2.