Pythagorean Theorem

Front

Which choice represents the legs of a right triangle?

Back

a and b

Front

What is the hypotenuse in a right triangle?

Back

The longest side in a right triangle.

Front

Determine the length of the missing side if one leg is 15 and the other leg is 8.

Back

17

Front

Which equation can be used to solve for 'x' if one leg is 15 and the hypotenuse is 21?

Back

21² – 15² = x²

Front

The Pythagorean Theorem is _________.

Back

a² + b² = c²

Front

What does 'c' represent in the Pythagorean Theorem?

Back

The length of the hypotenuse.

Front

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

Back

10 (using a² + b² = c²: 6² + 8² = c² => 36 + 64 = c² => c² = 100 => c = 10)

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

If the hypotenuse is 25 and one leg is 20, what is the length of the other leg?

Back

15 (using 25² - 20² = x² => 625 - 400 = x² => x² = 225 => x = 15)

Front

What is the formula to find the length of a leg in a right triangle?

Back

x² = c² - a² or x² = c² - b².