Solving 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

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

Back

If the shortest side (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3' and the hypotenuse is '2x'.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides opposite these angles are equal.

Front

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

Back

If each leg is 'x', then the hypotenuse is 'x√2'.

Front

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

Back

Front

In a 30-60-90 triangle, if the shorter leg is 4, what is the length of the longer leg?

Back

Front

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

Back

Front

What is the formula to find the length of the longer leg in a 30-60-90 triangle?

Back

Front

What type of triangle is formed by the sides of a 30-60-90 triangle?

Back

It is a right triangle.

Front

What is the area of a 30-60-90 triangle with a shorter leg of length 6?

Back