Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 18\) and \(b=24\). The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), so \(c^{2}=18^{2}+24^{2}\).

Step2: Calculate squares

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

Step3: Add values

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

Step4: Find square - root

\(c=\sqrt{900}=30\).

Answer:

30