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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 10√2.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 16√2, what is the length of each leg?

Back

Each leg is 16.

Tags

CCSS.8.G.B.8

Front

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

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

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

Back

The other leg is also 5.

Tags

CCSS.8.G.B.8

Front

What is the value of x if the legs of a 45-45-90 triangle are 8?

Back

x = 8√2.

Tags

CCSS.8.G.B.8

Front

How do you solve for the legs in a 45-45-90 triangle if given the hypotenuse?

Back

Divide the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

If the legs of a 45-45-90 triangle are 5√2, what is the hypotenuse?

Back

The hypotenuse is 10.

Tags

CCSS.8.G.B.8

Front

What is the area of a 45-45-90 triangle with legs of length 10?

Back

Area = (1/2) × leg × leg = (1/2) × 10 × 10 = 50.

Tags

CCSS.8.G.B.8