How to Solve for C Using the Pythagorean Theorem with 6.1 ft and 1.3 ft

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

c² = a² + b²

where c is the hypotenuse (the side opposite the right angle), and a and b are the other two sides.

Step-by-step solution:

1. Identify the given sides:
   a = 6.1 ft
   b = 1.3 ft
2. Substitute the values into the formula:
   c² = (6.1)² + (1.3)²
3. Calculate the squares:
   c² = 37.21 + 1.69
4. Add the values:
   c² = 38.9
5. Take the square root of both sides to find c:
   c = √38.9
6. Calculate the square root:
   c ≈ 6.24 ft

Answer: The length of side C is approximately 6.24 feet.