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

Back

The hypotenuse is 4√2.

Tags

CCSS.8.G.B.8

Front

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

Back

Divide the length of the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

What is the length of the diagonal of a square with side length 's'?

Back

The diagonal is s√2.

Tags

CCSS.8.G.B.8

Front

If the diagonal of a square is 12√2 cm, what is the length of each side?

Back

Each side is 12 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.7

Front

What is the value of the legs in a 45-45-90 triangle if the hypotenuse is 8?

Back

Each leg is 8/√2 or 4√2.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if one leg is 11, what is the length of the hypotenuse?

Back

The hypotenuse is 11√2.

Tags

CCSS.8.G.B.8