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

Back

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 inches.

Back

The hypotenuse is 4√2 inches.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 7√2 cm, what is the length of each leg?

Back

Each leg is 7 cm.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the legs in a 45-45-90 triangle given the hypotenuse?

Back

Leg length = Hypotenuse / √2.

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 5√2, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2 * √2 = 10.

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

Front

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

Back

Area = (a^2) / 2.

Tags

CCSS.6.G.A.1

Front

If the hypotenuse of a 45-45-90 triangle is 8√2, what is the length of each leg?

Back

Each leg is 8.

Tags

CCSS.8.G.B.8