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 of a 45-45-90 triangle?

Back

The legs of a 45-45-90 triangle are congruent, meaning they have the same length.

Tags

CCSS.8.G.B.8

Front

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

Back

Multiply the length of the leg by √2.

Tags

CCSS.8.G.B.8

Front

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

Back

5√2.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of the other leg is the same as the first leg.

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 4, what are the lengths of the sides?

Back

Legs: 4, Hypotenuse: 4√2.

Tags

CCSS.8.G.B.8

Front

What is the value of the hypotenuse if the leg measures 10?

Back

10√2.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, what is the ratio of the lengths of the legs to the hypotenuse?

Back

1:1:√2.

Tags

CCSS.8.G.B.8

Front

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

Back

8.

Tags

CCSS.8.G.B.8

Front

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

Back

18 square units.

Tags

CCSS.6.G.A.1