Question

find the missing side length of the right triangle.

Explanation:

Set up the Pythagorean equation

$$ a^2 + b^2 = c^2 $$

$$ 44^2 + 52^2 = c^2 $$

Calculate the squares and sum

$$ 1936 + 2704 = c^2 $$

$$ c^2 = 4640 $$

Solve for the hypotenuse

$$ c = \sqrt{4640} = 4\sqrt{290} \approx 68.12 $$

Answer:

\(4\sqrt{290}\) (or approximately \(68.12\))