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

Tags

CCSS.8.G.B.8

Front

If the length of a leg in a 45-45-90 triangle is 10 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 10√2 cm.

Tags

CCSS.8.G.B.8

Front

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

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

How do you find the length of a leg if the hypotenuse is given in a 45-45-90 triangle?

Back

Divide the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

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

Back

Each leg is 8 cm.

Tags

CCSS.8.G.B.8

Front

What is the area of a 45-45-90 triangle with legs of length 5 cm?

Back

Area = (1/2) × leg × leg = (1/2) × 5 × 5 = 12.5 cm².

Tags

CCSS.6.G.A.1

Front

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

Back

Perimeter = leg + leg + hypotenuse = 6 + 6 + 6√2 = 12 + 6√2 cm.

Tags

CCSS.8.G.B.8

Front

How do you simplify √50?

Back

√50 = 5√2.

Front

What is the diagonal of a square with side length 12√2 cm?

Back

The diagonal is 24 cm.

Tags

CCSS.8.G.B.8