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 is expressed as a² + b² = c².

Front

What is the formula used for the Pythagorean Theorem?

Back

a² + b² = c²

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

10 inches (Using the Pythagorean Theorem: 6² + 8² = c², 36 + 64 = c², 100 = c², c = 10).

Front

Can a triangle with sides of lengths 5, 12, and 13 be a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

Front

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

Back

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse.

Front

If a ladder is 13 feet long and is placed 5 feet away from a wall, how high does it reach on the wall?

Back

12 feet (Using the Pythagorean Theorem: 5² + h² = 13², 25 + h² = 169, h² = 144, h = 12).

Front

What are the side lengths of a right triangle if the hypotenuse is 15 and one leg is 9?

Back

12 (Using the Pythagorean Theorem: 9² + b² = 15², 81 + b² = 225, b² = 144, b = 12).

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.