The length of the third side is 42.44 cm.
To find the length of the third side, use Pythagorean Theorem to find the length of the third side.
The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a) and (b).
The formula is: c² = a² + b²
Given the hypotenuse (c) is 52 cm and one side (a) is 30 cm, solve for the length of the other side (b).
(a = 30) and (c = 52):
c² = a² + b²
52² = 30² + b²
b² = 52² - 30²
b² = 2704 - 900
b² = 1804
b = √1804
b ≈ 42.44 cm
Therefore, the length of the third side is approximately 42.44 cm.