The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (side C) is equal to the sum of the squares of the other two sides (side A and side B). The formula is:
C² = A² + B²
Given:
- A = 7 yards
- B = 24 yards
Step 1: Square both sides A and B:
- A² = 7² = 49
- B² = 24² = 576
Step 2: Add the squares together:
C² = 49 + 576 = 625
Step 3: Take the square root of C² to find C:
C = √625 = 25
Answer: The length of side C (the hypotenuse) is 25 yards.