Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \(a^2 + b^2 = c^2\), where \(a = 48\), \(b = 36\), and \(c\) is the hypotenuse. So we calculate \(48^2 + 36^2\).
\(48^2 = 2304\), \(36^2 = 1296\), then \(2304 + 1296 = 3600\).

Step2: Solve for c

Take the square root of 3600: \(c = \sqrt{3600} = 60\).

Answer:

60