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 lengths of the legs are equal.

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 a leg by √2.

Tags

CCSS.8.G.B.8

Front

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

Back

8√2.

Tags

CCSS.8.G.B.8

Front

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

Back

Hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if the hypotenuse is 12√2, what is the length of each leg?

Back

12.

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed by the angles 45°, 45°, and 90°?

Back

Isosceles right triangle.

Tags

CCSS.4.G.A.2

Front

If the legs of a 45-45-90 triangle are each 10, what is the length of the hypotenuse?

Back

10√2.

Tags

CCSS.8.G.B.7

Front

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

Back

12.5 square units.

Tags

CCSS.6.G.A.1

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

Use the Pythagorean theorem: a² + b² = c².

Tags

CCSS.8.G.B.8