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 length of each leg is equal, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

Front

How do you find the length of a leg if the hypotenuse is given?

Back

To find the length of a leg, divide the length of the hypotenuse by √2.

Tags

CCSS.8.G.B.7

Front

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

Back

5√2 cm.

Tags

CCSS.8.G.B.8

Front

What is the measure of the angles in a 45-45-90 triangle?

Back

The angles measure 45 degrees, 45 degrees, and 90 degrees.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 45-45-90 triangle is 14 cm, what is the length of each leg?

Back

Each leg is 14/√2 cm or 7√2 cm.

Tags

CCSS.8.G.B.8

Front

What is the formula to calculate the hypotenuse in a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 11 cm, what is the length of the other leg?

Back

The other leg is also 11 cm.

Tags

CCSS.8.G.B.7

Front

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

Back

Area = (1/2) × leg × leg = (1/2) × 6 × 6 = 18 cm².

Tags

CCSS.6.G.A.1

Front

In a 45-45-90 triangle, if the legs are x cm, what is the hypotenuse in terms of x?

Back

Hypotenuse = x√2.

Tags

CCSS.8.G.B.8