Question

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

Explanation:

Step1: Find the base \(b\) using Pythagorean theorem

For a right - triangle \(a^{2}+b^{2}=c^{2}\), where \(c = 8\) (hypotenuse) and \(a = 7\) (one leg). Then \(b=\sqrt{c^{2}-a^{2}}=\sqrt{8^{2}-7^{2}}=\sqrt{64 - 49}=\sqrt{15}\approx3.9\)

Step2: Calculate the perimeter \(P\)

The perimeter of a triangle \(P=a + b+ c\). Substitute \(a = 7\), \(b\approx3.9\), \(c = 8\). Then \(P=7 + 3.9+8=18.9\)

Answer:

\(18.9\)