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 is 1:1:√2, where the legs are of equal length and 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 'a', what is the length of the hypotenuse?

Back

The length of the hypotenuse is a√2.

Tags

CCSS.8.G.B.8

Front

Find the hypotenuse if each leg of a 45-45-90 triangle is 4.5.

Back

The hypotenuse is 4.5√2.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 11√2, what is the length of each leg?

Back

Each leg is 11.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of a leg if the hypotenuse is known in a 45-45-90 triangle?

Back

The formula is leg = hypotenuse / √2.

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 3, what is the length of the hypotenuse?

Back

The hypotenuse is 3√2.

Tags

CCSS.8.G.B.8

Front

What is the area of a 45-45-90 triangle with legs of length 4?

Back

The area is 8 square units (Area = 1/2 * base * height = 1/2 * 4 * 4).

Tags

CCSS.6.G.A.1

Front

If the length of the hypotenuse is 12√2, what is the length of each leg?

Back

Each leg is 12.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

The hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8