U4 Day 2 CW: 45-45-90 Triangles

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 sides opposite the 45-degree angles are equal, and the side opposite the 90-degree angle is √2 times the length of either 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 each leg has a length of 'x', then the hypotenuse has a length of 'x√2'.

Front

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

Back

The hypotenuse is 4√2.

Front

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

Back

If the hypotenuse is 'h', then the length of each leg is 'h/√2'.

Front

If the hypotenuse of a 45-45-90 triangle is 8√2, what is the length of each leg?

Back

Each leg is 8.

Front

What is the value of y in a 45-45-90 triangle if the legs are 11?

Back

y = 11.

Front

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

Back

The other leg is also 5.

Front

What is the length of y in a 45-45-90 triangle with legs measuring 4?

Back

y = 4.

Front

If the length of one leg in a 45-45-90 triangle is 5√2, what is the length of the hypotenuse?

Back

The hypotenuse is 10.

Front

What is the value of x in a 45-45-90 triangle if the hypotenuse is 12.7?

Back

x = 12.7/√2.