How to Solve for C Using the Pythagorean Theorem with Sides 2.4in and 2.4in

The Pythagorean theorem is a fundamental relation in geometry that applies to right triangles. It states:

a² + b² = c²

where a and b are the lengths of the legs (the two sides perpendicular to each other), and c is the length of the hypotenuse (the side opposite the right angle).

In your case, both legs are 2.4 inches:

• a = 2.4 inches
• b = 2.4 inches

Step-by-step, here is how to find c:

1. First, square both sides:
   a² = (2.4)² = 5.76
   b² = (2.4)² = 5.76
2. Add the squares:
   a² + b² = 5.76 + 5.76 = 11.52
3. Take the square root of the sum to find c:
   c = √11.52
4. Calculate the square root:
   c ≈ 3.394 inches

Answer: The length of side c (the hypotenuse) is approximately 3.39 inches.