Step-by-step explanation on how to find the hypotenuse C of a right triangle using the Pythagorean theorem with given side lengths 8.1 meters and 4.1 meters.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (C) is equal to the sum of the squares of the other two sides (A and B):
C² = A² + B²
Given:
Step 1: Square both sides:
A² = (8.1)² = 65.61
B² = (4.1)² = 16.81
Step 2: Add the squares:
A² + B² = 65.61 + 16.81 = 82.42
Step 3: Find the square root to get C:
C = √82.42 ≈ 9.08 meters
Therefore, the length of the hypotenuse C is approximately 9.08 meters.