Pre-ACT Right Triangles 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

What is the relationship between the short leg and the long leg in a 30-60-90 triangle?

Back

The long leg is √3 times the length of the short leg.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if you know the short leg?

Back

Multiply the length of the short leg by 2.

Front

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

Back

Divide the length of the long leg by √3.

Front

What is the formula to find the area of a 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 definition of the adjacent side in a right triangle?

Back

The side next to the angle of interest that is not the hypotenuse.

Front

What is the definition of the opposite side in a right triangle?

Back

The side opposite the angle of interest.

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

Back

7/√3 (divide the long leg by √3).