Pythagorean Theorem

Front

What are the legs of a right triangle?

Back

The sides a and b of a right triangle are called legs.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side c, which is always the longest side in a right triangle.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

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

Back

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

Front

True or False: The hypotenuse is always opposite the right angle.

Back

True.

Front

Which equation can be used to find the length of a missing side in a right triangle?

Back

c² = a² + b².

Front

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

Back

Using the Pythagorean Theorem: b² = 13² - 5²; b² = 169 - 25; b = √144 = 12.

Front

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

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If a right triangle has sides of lengths 9, 12, and 15, which side is the hypotenuse?

Back

The hypotenuse is 15.

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.