45°-45°-90° Triangle Flashcard

Front

What is a 45°-45°-90° triangle?

Back

A right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

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

Back

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

Front

If the length of each leg of a 45°-45°-90° triangle is x, what is the length of the hypotenuse?

Back

The hypotenuse is x√2.

Front

If the hypotenuse of a 45°-45°-90° triangle is 10√2, what is the length of each leg?

Back

Each leg is 10.

Front

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

Back

The hypotenuse is 5√2.

Front

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

Back

Hypotenuse = leg × √2.

Front

If one leg of a 45°-45°-90° triangle is 12, what is the length of the other leg?

Back

The other leg is also 12.

Front

In a 45°-45°-90° triangle, if the hypotenuse is 14√2, what is the length of each leg?

Back

Each leg is 14.

Front

What is the area of a 45°-45°-90° triangle with legs of length 6?

Back

Area = (6 × 6) / 2 = 18.

Front

If the hypotenuse of a 45°-45°-90° triangle is 20, what is the length of each leg?

Back

Each leg is 20/√2 or 10√2.