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). Formula: a² + b² = c².

Front

What is a right triangle?

Back

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

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the legs (a and b) and the hypotenuse (c). The hypotenuse is the longest side, 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

5 (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).

Front

What is the square root of 25?

Back

5.

Front

Which set of sides would make a right triangle? 4, 5, 6 or 5, 12, 13?

Back

5, 12, 13 (because 5² + 12² = 25 + 144 = 169 = 13²).

Front

What is the opposite of squaring a number?

Back

Square root.

Front

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

Back

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

Front

What is the distance traveled if Casey travels 30 miles west and 40 miles north?

Back

50 miles (Using the Pythagorean Theorem: 30² + 40² = 900 + 1600 = 2500; √2500 = 50).

Front

True or False: To find the hypotenuse of a right triangle, you add a² and b², then take the square root to find c.

Back

True.