45-45-90 Right Triangles Assignment

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 legs are of equal length, and the hypotenuse is √2 times the length of a leg.

Front

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

Back

In a 45-45-90 triangle, if the length of each leg is 'a', then the length of the hypotenuse 'c' is given by the formula: c = a√2.

Front

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

How do you find the length of the other leg in a 45-45-90 triangle if one leg is known?

Back

The length of the other leg is the same as the known leg since both legs are equal in a 45-45-90 triangle.

Front

What is the value of the legs if the hypotenuse of a 45-45-90 triangle is 6√2?

Back

Each leg is 6.

Front

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

Back

The formula is c = a√2, where 'c' is the hypotenuse and 'a' is the length of each leg.

Front

If the length of a leg is 11, what is the length of the hypotenuse?

Back

The hypotenuse is 11√2.

Front

In a 45-45-90 triangle, if the hypotenuse is 10 inches, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2 inches.

Front

What is the area of a 45-45-90 triangle with legs of length 4?

Back

The area is (1/2) * 4 * 4 = 8 square units.

Front

What is the perimeter of a 45-45-90 triangle with legs of length 4?

Back

The perimeter is 4 + 4 + 4√2 = 8 + 4√2.