Special Right Triangles Practice

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easy calculation of side lengths. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The ratio of the lengths of the legs to the hypotenuse in a 45-45-90 triangle is 1:1:√2.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of the hypotenuse is 10.

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 4?

Back

The length of the longer leg is 4√3.

Tags

CCSS.8.G.B.8

Front

State the Pythagorean Theorem.

Back

Tags

CCSS.8.G.B.8

Front

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 6√2.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the angles in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the angles are 30 degrees, 60 degrees, and 90 degrees.

Tags

CCSS.HSG.CO.C.10

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?

Back

The length of the shorter leg is 6.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the area of a right triangle?

Back

The area of a right triangle can be found using the formula: Area = (1/2) * base * height.

Tags

CCSS.6.G.A.1

Front

In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.

Tags

CCSS.8.G.B.8