Special Right 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

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

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle is a right triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the hypotenuse of a 30-60-90 triangle if you know the length of the short leg?

Back

Multiply the length of the short leg by 2.

Tags

CCSS.8.G.B.8

Front

How do you find the long leg of a 30-60-90 triangle if you know the length of the short leg?

Back

Multiply the length of the short leg by √3.

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 (short leg) : √3 (long leg) : 2 (hypotenuse).

Tags

CCSS.HSG.CO.C.10

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4 multiplied by 2, which equals 8.

Tags

CCSS.HSG.CO.C.10

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the long leg?

Back

The long leg is 4 multiplied by √3, which is approximately 6.93.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Hypotenuse = leg length × √2.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the long leg in a 30-60-90 triangle?

Back

Long leg = short leg length × √3.

Tags

CCSS.8.G.B.8