45-45-90 and 30-60-90 Mix

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees. The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

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

Back

The ratio of the sides in a 45-45-90 triangle is 1:1:√2.

Front

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle is a right triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees. The sides are in a specific ratio.

Front

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

Back

The ratio of the sides in a 30-60-90 triangle is 1:√3:2.

Front

If the short leg of a 30-60-90 triangle is 5, what is the length of the long leg?

Back

The long leg is 5√3.

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 5.

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

Multiply the length of a leg by √2.

Front

What is the length of the hypotenuse if each leg of a 45-45-90 triangle is 6?

Back

The hypotenuse is 6√2.

Front

In a 30-60-90 triangle, if the long leg is 8, what is the length of the short leg?

Back

The short leg is 8/√3 or approximately 4.62.

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

The hypotenuse is √2 times the length of each leg.