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 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

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

Back

If the hypotenuse is known, the length of each leg can be found by dividing the hypotenuse by √2.

Tags

CCSS.8.G.B.8

Front

What is the value of √2 approximately?

Back

√2 is approximately 1.414.

Tags

CCSS.8.NS.A.2

Front

In a 45-45-90 triangle, if the hypotenuse is 8, what is the length of each leg?

Back

Each leg is 8/√2, which simplifies to 4√2.

Tags

CCSS.8.G.B.8

Front

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

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

Front

What is the formula to calculate the area of a 45-45-90 triangle?

Back

The area can be calculated using the formula: Area = (1/2) * leg * leg.

Tags

CCSS.6.G.A.1

Front

If the legs of a 45-45-90 triangle are both 4, what is the hypotenuse?

Back

The hypotenuse is 4√2.

Tags

CCSS.8.G.B.8

Front

How can you verify if a triangle is a 45-45-90 triangle?

Back

You can verify it by checking if the lengths of the legs are equal and if the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8