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 is expressed as c² = a² + b².

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as sides a and b.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is denoted as side c.

Front

If one leg of a right triangle is 10 feet and the other leg is 24 feet, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 26 feet.

Front

True or False: The formula for the Pythagorean Theorem is c² = a² - b².

Back

False. The correct formula is c² = a² + b².

Front

In a right triangle, if a = 3 and b = 4, what is c?

Back

c = 5.

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 two legs (a and b) equals the square of the hypotenuse (c).

Front

If the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Back

The length of the other leg is 12.

Front

What is the Pythagorean Theorem used for?

Back

It is used to determine the length of a side in a right triangle when the lengths of the other two sides are known.

Front

If a ladder is placed 10 feet away from a wall and reaches a height of 24 feet, how long is the ladder?

Back

The ladder is 26 feet long.