Pythagorean Theorem Vocab

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). Formula: a² + b² = c².

Front

What is 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 3 and the other leg is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.

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.

Front

In the triangle with sides 5, 12, and 13, which side is the hypotenuse?

Back

The hypotenuse is 13, as it is the longest side.

Front

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

Back

True.

Front

What is the formula to find the length of a missing leg in a right triangle?

Back

If you know the hypotenuse (c) and one leg (a), the formula is a² = c² - b².

Front

What does 'c' represent in the Pythagorean Theorem?

Back

'c' represents the length of the hypotenuse.

Front

If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

Using the Pythagorean Theorem: b² = 10² - 6²; b² = 100 - 36; b² = 64; b = 8.

Front

What is a right triangle?

Back

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