45-45-90 #2

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.

Front

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

Back

In a 45-45-90 triangle, the length of the hypotenuse is √2 times the length of each leg.

Front

If the length of a leg is 5, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 5√2.

Front

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

Back

Hypotenuse = leg × √2.

Front

If the hypotenuse is 21√2, what is the length of each leg?

Back

Each leg is 21.

Front

What is the length of the legs if the hypotenuse is 90?

Back

Each leg is 90/√2 or 45√2.

Front

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

Back

The other leg is also x.

Front

How do you find the length of a leg if the hypotenuse is known?

Back

Leg = hypotenuse / √2.

Front

If CA = 8√5, what is the length of the hypotenuse?

Back

The hypotenuse is 8√5 × √2 = 8√10.

Front

What is the length of BC if AC = 21?

Back

BC = 21√2.