Special Right Triangles

Front

What is the formula for finding the hypotenuse in a right triangle?

Back

a² + b² = c²

Front

In a 45-45-90 triangle, if one leg is x, what is the length of the hypotenuse?

Back

x√2

Front

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

Back

2x

Front

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

Back

The hypotenuse is twice the length of the shortest leg, and the longer leg is √3 times the shortest leg.

Front

What is the value of x in a 45-45-90 triangle if the hypotenuse is 12√2?

Back

12

Front

What is the value of x in a 30-60-90 triangle if the shortest leg is 6?

Back

Hypotenuse = 12, Longer leg = 6√3

Front

What is the area of a 45-45-90 triangle with legs of length 5?

Back

12.5

Front

What is the perimeter of a 30-60-90 triangle with a shortest leg of 4?

Back

4 + 4√3 + 8

Front

What is the definition of a special right triangle?

Back

A triangle with specific angle measures (45-45-90 or 30-60-90) that allows for easy calculation of side lengths.

Front

How do you find the length of the longer leg in a 30-60-90 triangle if the shortest leg is 5?

Back

Multiply the shortest leg by √3.