SPECIAL RIGHT TRIANGLES

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.

Front

In a 30-60-90 triangle, if the short leg is 'u', what is the length of the long leg?

Back

The long leg is 'u√3'.

Front

How do you find the hypotenuse of a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1:1:√2.

Front

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

Back

The hypotenuse is 'a√2'.

Front

If the legs of a 45-45-90 triangle are equal, what can be said about their lengths?

Back

The lengths of both legs are the same.

Front

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

Back

The sides are in the ratio of 1 (short leg) : √3 (long leg) : 2 (hypotenuse).

Front

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

Back

The short leg is 10/2 = 5.

Front

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

Back

Multiply the hypotenuse by √3/2.

Front

What is the formula to find the length of the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.