Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 24\), \(b=18\). So \(c^{2}=24^{2}+18^{2}\).

Step2: Calculate \(24^{2}\) and \(18^{2}\)

\(24^{2}=24\times24 = 576\), \(18^{2}=18\times18=324\). Then \(c^{2}=576 + 324\).

Step3: Sum the values

\(c^{2}=576+324=900\).

Step4: Find \(c\)

Take the square root of \(c^{2}\), \(c=\sqrt{900}\).

Answer:

\(30\)