Question

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

Explanation:

Step1: Find the length of the unknown side

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\). Here \(c = 9\) (hypotenuse), \(b=8\), and we need to find \(a\).

$$a=\sqrt{c^{2}-b^{2}}=\sqrt{9^{2}-8^{2}}=\sqrt{81 - 64}=\sqrt{17}\approx4.1$$

Step2: Calculate the perimeter

The perimeter \(P\) of a triangle is \(P=a + b+ c\). Substitute \(a\approx4.1\), \(b = 8\), and \(c = 9\).

$$P\approx4.1+8 + 9=21.1$$

Answer:

\(21.1\)