How to Solve 6m + 6m to Find C Using the Pythagorean Theorem

The Pythagorean theorem is a fundamental rule in geometry that relates the lengths of the sides of a right triangle. It states that:

a² + b² = c²

where a and b are the lengths of the legs (the two sides that form the right angle), and c is the length of the hypotenuse (the side opposite the right angle).

Given that both a and b are 6 meters, you can solve for c as follows:

1. Plug in the values:

6² + 6² = c²

2. Calculate the squares:

36 + 36 = c²

72 = c²

3. Take the square root of both sides to solve for c:

c = √72

c = √(36 × 2) = √36 × √2

c = 6√2 meters

Final answer: The length of side C is 6√2 meters or approximately 8.49 meters.