Chapter 9 Review

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the Pythagorean Theorem equation?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the square root of 81?

Back

9 (Note: -9 is also a square root, but we typically refer to the principal square root).

Front

How do you find the missing side of a right triangle using the Pythagorean Theorem?

Back

Use the formula a² + b² = c² to solve for the missing side.

Front

How do you convert a repeating decimal like 0.1717... to a fraction?

Back

Let x = 0.1717..., then 100x = 17.1717...; subtract to get 99x = 17, so x = 17/99.

Front

What is a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Front

What are the legs of a right triangle?

Back

The two sides that form the right angle.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the legs equals the square of the hypotenuse.

Front

What is the value of 3²?

Back

9

Front

If one leg of a right triangle is 6 and the hypotenuse is 10, what is the length of the other leg?

Back

8 (using the Pythagorean Theorem: 6² + b² = 10²).