Pythagorean Theorem

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

What is the formula to find the hypotenuse in a right triangle?

Back

The formula to find the hypotenuse (c) in a right triangle is: c = √(a² + b²).

Front

If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

What is 5 squared?

Back

5² = 25.

Front

In a right triangle, if the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Back

Using the Pythagorean Theorem: b = √(c² - a²) = √(13² - 5²) = √(169 - 25) = √144 = 12.

Front

What do we call the longest side of a right triangle?

Back

The longest side of a right triangle is called the hypotenuse.

Front

If a right triangle has legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(9² + 12²) = √(81 + 144) = √225 = 15.

Front

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

Back

The relationship is that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If the hypotenuse is labeled as 'x', what does 'x' represent in a right triangle?

Back

'x' represents the length of the hypotenuse.

Front

What is the value of 3 squared?

Back

3² = 9.