45-45-90 Triangles (regular)

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

Front

If each leg of a 45-45-90 triangle is 5 units, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2 units.

Front

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

Back

To find the length of a leg, divide the length of the hypotenuse by √2.

Front

What is the length of the legs if the hypotenuse is 9√2?

Back

The length of each leg is 9 units.

Front

In a 45-45-90 triangle, if one leg is 8 units, what is the length of the hypotenuse?

Back

The hypotenuse is 8√2 units.

Front

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

Back

Hypotenuse = leg × √2.

Front

If the legs of a 45-45-90 triangle are represented as 'x', what is the expression for the hypotenuse?

Back

Hypotenuse = x√2.

Front

What is the value of y if the hypotenuse of a 45-45-90 triangle is 11√2?

Back

The length of each leg (y) is 11 units.

Front

How do you derive the lengths of the legs from the hypotenuse in a 45-45-90 triangle?

Back

Divide the hypotenuse by √2 to find the length of each leg.