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). 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

If a = 3 and b = 4, what is c?

Back

c = 5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

Do the lengths 5, 12, and 13 form a right triangle?

Back

Yes, because 5² + 12² = 13².

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 a = 6 and c = 10, what is b?

Back

b = 8 (using the Pythagorean Theorem: 6² + b² = 10²).

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 shorter sides equals the square of the longest side (hypotenuse).

Front

If a = 8 and b = 15, what is c?

Back

c = 17 (using the Pythagorean Theorem: 8² + 15² = 17²).

Front

Can the lengths 7, 24, and 25 form a right triangle?

Back

Yes, because 7² + 24² = 25².

Front

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

Back

Use the Pythagorean Theorem: a² + b² = c².