How to Solve for Side C Using the Pythagorean Theorem with Sides 70 cm and 24 cm

The Pythagorean theorem states that in a right-angled 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:

• Side A = 70 cm
• Side B = 24 cm

Step 1: Square both given sides:

70² = 4900
24² = 576

Step 2: Add the squares:

4900 + 576 = 5476

Step 3: Take the square root of the sum to find side C:

C = √5476

Step 4: Calculate the square root:

C ≈ 74 cm

Answer: The length of side C (hypotenuse) is approximately 74 centimeters.