8-1: Special Right Triangles

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 : @@rac{{ ext{√3}}}{{2}} : 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : @@ ext{√2}.

Front

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

Back

The hypotenuse is twice the length of the shorter leg (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

Front

What is the formula for the area of a triangle?

Back

Front

What is the Pythagorean theorem?

Back

Front

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

Back

Front

How do you find the length of the legs in a 45-45-90 triangle?

Back

Front

What is the significance of special right triangles in geometry?

Back

They provide specific ratios that simplify calculations in trigonometry and geometry.

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 6?

Back

The hypotenuse is 12.