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 with legs \(a = 7\) and \(b = 3\), the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\). So \(c^{2}=7^{2}+3^{2}\).

Step2: Calculate \(a^{2}+b^{2}\)

\(7^{2}=49\) and \(3^{2}=9\). Then \(c^{2}=49 + 9=58\).

Step3: Solve for \(c\)

\(c=\sqrt{58}\approx7.6\) (rounded to the nearest tenth).

Answer:

\(7.6\)