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 ratio of the lengths of the sides in a 45-45-90 triangle?

Back

The ratio of the lengths of the sides in a 45-45-90 triangle is 1:1:√2.

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

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

Back

Divide the length of the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

What is the length of the legs if the hypotenuse is 10√2?

Back

The length of each leg is 10.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of the hypotenuse is 4√2.

Tags

CCSS.8.G.B.7

Front

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

Back

The area is (a^2)/2.

Tags

CCSS.6.G.A.1

Front

If the area of a 45-45-90 triangle is 32, what is the length of each leg?

Back

Each leg is 8√2.

Tags

CCSS.6.G.A.1

Front

In a square with a diagonal of 'd', what is the length of each side?

Back

The length of each side is d/√2.

Tags

CCSS.8.G.B.8

Front

If a square has a diagonal of 9√2, what is the length of each side?

Back

Each side is 9.

Tags

CCSS.8.G.B.8