10-2 Special Right Triangles 45-45-90

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 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

What is the formula to find the length of the legs if the hypotenuse is known?

Back

If the hypotenuse is h, the length of each leg is h/√2 or h√2/2.

Tags

CCSS.8.G.B.8

Front

Calculate the hypotenuse if each leg of a 45-45-90 triangle is 6.

Back

The hypotenuse is 6√2.

Tags

CCSS.8.G.B.8

Front

What is the value of x in a 45-45-90 triangle if the hypotenuse is 12√2?

Back

The value of x (length of each leg) is 12.

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 length of the hypotenuse is 5√2.

Tags

CCSS.8.G.B.7

Front

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

Back

The area is (1/2) * 4 * 4 = 8.

Tags

CCSS.6.G.A.1

Front

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

Back

Each leg is 10.

Tags

CCSS.8.G.B.8

Front

What is the perimeter of a 45-45-90 triangle with legs of length 3?

Back

The perimeter is 3 + 3 + 3√2 = 6 + 3√2.

Tags

CCSS.3.MD.D.8