Step-by-step explanation of how to find the length of side C in a right triangle when the other sides are 6 meters and 7 meters, using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the other two sides (usually called a and b). The formula is:
C² = a² + b²
Given that one side is 6 meters and the other is 7 meters, you can substitute these values into the equation.
Step 1: Write the formula:
C² = 6² + 7²
Step 2: Calculate the squares:
C² = 36 + 49
Step 3: Add the squares:
C² = 85
Step 4: Take the square root of both sides to solve for C:
C = √85
Using a calculator, √85 ≈ 9.22 meters.
Answer: The length of side C is approximately 9.22 meters.