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 sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of 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

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 3 cm.

Back

The hypotenuse is 3√2 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

The diagonal is s√2.

Tags

CCSS.8.G.B.8

Front

Find the diagonal of a square with side length 12√2 cm.

Back

The diagonal is 24 cm.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 4√2 inches, what is the length of each leg?

Back

Each leg is 4 inches.

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 the hypotenuse of a triangle is 5√2, what is the length of each leg?

Back

Each leg is 5.

Tags

CCSS.8.G.B.8

Front

What is the value of x if the hypotenuse is 6√2?

Back

x = 6.

Tags

CCSS.8.G.B.8