45-45-90 Right 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 x, what is the length of the hypotenuse?

Back

The length of the hypotenuse is x√2.

Tags

CCSS.8.G.B.8

Front

What is the length of each leg if the hypotenuse is 8√2?

Back

Each leg is 8.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

Front

What is the formula to calculate the area of a 45-45-90 triangle?

Back

Area = (1/2) * leg * leg = (1/2) * x * x.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 12, what is the length of each leg?

Back

Each leg is 12/√2 or 6√2.

Tags

CCSS.8.G.B.8

Front

What is the value of √2 approximately?

Back

√2 is approximately 1.414.

Tags

CCSS.8.NS.A.2

Front

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

Back

The hypotenuse is 10√2.

Tags

CCSS.8.G.B.8