Special Right Triangles Mixed

Front

What is a special right triangle?

Back

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

Front

What is the side length ratio of a 45-45-90 triangle?

Back

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

Front

What is the side length ratio of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the side lengths 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 x?

Back

The hypotenuse is x√2.

Front

How do you find the length of the longer leg in a 30-60-90 triangle if the shorter leg is x?

Back

The longer leg is x√3.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is x?

Back

The hypotenuse is 2x.

Front

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

Back

The hypotenuse is 6√2.

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?

Back

The shorter leg is 6.

Front

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

Back

The area of a right triangle is given by the formula: Area = (1/2) * base * height.

Front

If the legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

Back

The hypotenuse is 5, using the Pythagorean theorem: a² + b² = c².