Pythagorean Theorem Practice

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: a² + b² = c².

Front

If a = 12 and b = 35, what is c?

Back

c = 37 (using the Pythagorean Theorem: 12² + 35² = 37²).

Front

What is the length of the hypotenuse if the other two sides are 25 cm and 48 cm?

Back

The hypotenuse is 52 cm (using the Pythagorean Theorem: 25² + 48² = 52²).

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

What is the longest side of a right triangle called?

Back

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

Front

If one leg of a right triangle is 9 and the hypotenuse is 13, what is the length of the other leg?

Back

The length of the other leg is 12 (using the Pythagorean Theorem: 9² + b² = 13²).

Front

What is the value of c if a = 7 and b = 24?

Back

c = 25 (using the Pythagorean Theorem: 7² + 24² = 25²).

Front

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

Back

The length of the other leg is 8 (using the Pythagorean Theorem: 6² + b² = 10²).

Front

What does 'a' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' represents the length of one leg of the right triangle.

Front

What does 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'b' represents the length of the other leg of the right triangle.