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 is the longest side of a right triangle called?

Back

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

Front

In a right triangle, which sides are referred to as legs?

Back

The two sides that form the right angle are referred to as the legs.

Front

Which triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If one leg of a right triangle is 5 cm and the other leg is 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 5² + 12²; c² = 25 + 144; c² = 169; c = 13 cm.

Front

True or False: The hypotenuse is always the shortest side in a right triangle.

Back

False. The hypotenuse is always the longest side in a right triangle.

Front

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

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10 cm.

Front

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

Back

The relationship is known as the Pythagorean relationship.

Front

Can the Pythagorean Theorem be used for obtuse or acute triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

If a right triangle has a hypotenuse of 15 cm and one leg of 9 cm, what is the length of the other leg?

Back

Using the Pythagorean Theorem: c² = a² + b²; 15² = 9² + b²; 225 = 81 + b²; b² = 144; b = 12 cm.