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):
C² = A² + B²
Given:
- A = 1 mm
- B = 5 mm
Step 1: Square the lengths of side A and side B
A² = (1 mm)² = 1 mm²
B² = (5 mm)² = 25 mm²
Step 2: Add the squares together
A² + B² = 1 mm² + 25 mm² = 26 mm²
Step 3: Take the square root of the sum to find C
C = √26 mm ≈ 5.10 mm
Answer: The hypotenuse (side C) is approximately 5.10 mm.