Special Right Triangles & Pythagorean Thm

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : √2.

Front

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

Back

Multiply the length of the short leg by √3.

Front

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

Back

Multiply the length of the short leg by 2.

Front

What is the relationship between the legs in a 45-45-90 triangle?

Back

The lengths of the legs are equal.

Front

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

Back

Each leg is 8/√2 or 4√2.

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

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

Back

The hypotenuse is 10.

Front

In a 30-60-90 triangle, if the long leg is 6√3, what is the length of the short leg?

Back

The short leg is 6.

Front

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

Back

Area = 1/2 * base * height.