Special Right triangles

Front

What are the two special right triangles commonly studied in geometry?

Back

The two special right triangles are the 45-45-90 triangle and the 30-60-90 triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2, corresponding to the angles 30°, 60°, and 90°.

Tags

CCSS.HSG.CO.C.10

Front

If one leg of a 45-45-90 triangle is 10, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 10√2.

Tags

CCSS.8.G.B.7

Front

In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the longer leg?

Back

The length of the longer leg is 5√3.

Tags

CCSS.8.G.B.8

Front

What is the measure of the angles in a 45-45-90 triangle?

Back

The angles in a 45-45-90 triangle are 45°, 45°, and 90°.

Tags

CCSS.HSG.CO.C.10

Front

What is the measure of angle A in a 30-60-90 triangle if the longer leg is 10√3?

Back

Angle A is 60°.

Tags

CCSS.8.G.B.8

Front

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

Back

The length of the hypotenuse is twice the length of the shorter leg.

Tags

CCSS.8.G.B.8

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 for the area of a right triangle?

Back

The area of a right triangle is given by the formula: Area = (1/2) * base * height.

Tags

CCSS.6.G.A.1