Special Right Triangles 30/60/90 and 45/45/90

Front

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

Back

1 : √3 : 2 (short leg : long leg : hypotenuse)

Front

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

Back

1 : 1 : √2 (leg : leg : hypotenuse)

Front

If the length of the shorter leg in a 30/60/90 triangle is 3, what is the length of the longer leg?

Back

3√3

Front

If the hypotenuse of a 30/60/90 triangle is 6, what is the length of the shorter leg?

Back

3

Front

In a 45/45/90 triangle, if one leg is 5, what is the length of the hypotenuse?

Back

5√2

Front

If the hypotenuse of a 45/45/90 triangle is 10, what is the length of each leg?

Back

5√2

Front

What is the formula to find the length of the hypotenuse in a 30/60/90 triangle?

Back

Hypotenuse = 2 × (short leg) or Hypotenuse = (long leg) / √3

Front

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

Back

Long leg = (short leg) × √3

Front

If the longer leg of a 30/60/90 triangle is 9, what is the length of the hypotenuse?

Back

18

Front

In a 45/45/90 triangle, if the hypotenuse is 4√2, what is the length of each leg?

Back

4