30-60-90, 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. The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The shortest side is opposite the 30-degree angle, the longer leg is opposite the 60-degree angle, and the hypotenuse is opposite the 90-degree angle.

Tags

CCSS.HSG.CO.C.10

Front

If the leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Tags

CCSS.8.G.B.8

Front

What is the length of the longer leg in a 30-60-90 triangle if the shorter leg is 5?

Back

The longer leg is 5√3.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

Multiply the length of the shorter leg by 2.

Tags

CCSS.8.G.B.8

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

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

Back

Each leg is 8.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the hypotenuse is 10, what is the length of the shorter leg?

Back

The shorter leg is 5.

Tags

CCSS.8.G.B.8

Front

What is the value of y in a 45-45-90 triangle if one leg is 4?

Back

y = 4.

Tags

CCSS.8.G.B.8

Front

What is the length of the hypotenuse in a 30-60-90 triangle with a longer leg of 6√3?

Back

The hypotenuse is 12.

Tags

CCSS.8.G.B.8