The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides.
The formula is:
C² = A² + B²
Given:
- A = 8.9 meters
- B = 2.7 meters
Step 1: Square both sides A and B.
- A² = (8.9)² = 79.21
- B² = (2.7)² = 7.29
Step 2: Add the squares.
C² = 79.21 + 7.29 = 86.5
Step 3: Take the square root of both sides to solve for C.
C = √86.5 ≈ 9.30 meters
Answer: The length of side C (the hypotenuse) is approximately 9.3 meters.