Question

what is the perimeter? if necessary, round to the nearest tenth. miles

Explanation:

Step1: Find the unknown side \(a\) using Pythagorean theorem

For a right - triangle with hypotenuse \(c = 7.2\) and one leg \(b=6.2\), by \(a=\sqrt{c^{2}-b^{2}}\), we have \(a=\sqrt{7.2^{2}-6.2^{2}}=\sqrt{(7.2 + 6.2)(7.2 - 6.2)}=\sqrt{13.4\times1}=\sqrt{13.4}\approx3.7\)

Step2: Calculate the perimeter \(P\)

The perimeter of a triangle \(P=a + b + c\). Substitute \(a\approx3.7\), \(b = 6.2\), \(c = 7.2\) into the formula. Then \(P=3.7+6.2 + 7.2=17.1\)

Answer:

\(17.1\)