Pythagorean Theorem Review

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

Front

How do you find the length of the missing side in a right triangle?

Back

To find the length of a missing side in a right triangle, use the Pythagorean Theorem: c² = a² + b². Rearrange the formula to solve for the missing side.

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle has one angle that is greater than 90 degrees.

Front

What type of triangle has one angle equal to 90 degrees?

Back

A right triangle has one angle that is exactly 90 degrees.

Front

What type of triangle has all angles less than 90 degrees?

Back

An acute triangle has all angles that are less than 90 degrees.

Front

If a triangle has sides of lengths 20, 25, and 15, does it form a right triangle?

Back

Yes, it forms a right triangle because 20² + 15² = 25².

Front

What is the length of the hypotenuse if the other two sides are 6 and 8?

Back

The length of the hypotenuse is 10, calculated as √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

What is the length of the missing side if one side is 9 and the hypotenuse is 15?

Back

The length of the missing side is 12, calculated as √(15² - 9²) = √(225 - 81) = √144 = 12.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If one side of a right triangle is 12 and the hypotenuse is 13, what is the length of the other side?

Back

The length of the other side is 5, calculated as √(13² - 12²) = √(169 - 144) = √25 = 5.