9.2 special right triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Front

How do you find the length of 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

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

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 short leg of a 30-60-90 triangle is 6, what is the length of the hypotenuse?

Back

12.

Front

What is the height of an equilateral triangle with side length 's'?

Back

The height is (s√3)/2.

Front

How do you find the height of a 30-60-90 triangle if the hypotenuse is known?

Back

Multiply the hypotenuse by √3/2.

Front

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

Back

Area = 1/2 * base * height.

Front

What is the opposite of squaring a number?

Back

Square root.

Front

In a 30-60-90 triangle, if the hypotenuse is 10, what is the length of the short leg?

Back

5.