Special Right Triangles

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios, such as the 45-45-90 triangle and the 30-60-90 triangle.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle if one leg is 8?

Back

The hypotenuse is 8√2.

Front

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

Back

The shorter leg is 5.

Front

What is the Pythagorean Theorem?

Back

Front

How do you solve for x using the Pythagorean Theorem?

Back

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle has one angle greater than 90 degrees.

Front

What type of triangle has one angle equal to 90 degrees?

Back

A right triangle has one angle equal to 90 degrees.

Front

What is the length of the hypotenuse in a right triangle with legs of length 3 and 4?

Back