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 a leg.

Tags

CCSS.8.G.B.8

Front

If the length of a leg is 'a', what is the length of the hypotenuse?

Back

The length of the hypotenuse is a√2.

Tags

CCSS.8.G.B.8

Front

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 4 cm long.

Back

The hypotenuse is 4√2 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

Each leg is 8 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

The other leg is also 5 cm.

Tags

CCSS.8.G.B.7

Front

What is the length of the hypotenuse if the leg is 7 cm?

Back

The hypotenuse is 7√2 cm.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if the hypotenuse is 10√2 cm, what is the length of each leg?

Back

Each leg is 10 cm.

Tags

CCSS.8.G.B.8

Front

What is the area of a 45-45-90 triangle with legs of length 6 cm?

Back

The area is 18 cm².

Tags

CCSS.6.G.A.1

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