Question

13 in. a 12 in. what is the perimeter? if necessary, round to the nearest tenth. inches

Explanation:

Step1: Find side length a using Pythagorean theorem

By the Pythagorean theorem \(a=\sqrt{13^{2}-12^{2}}\).
\[

$$\begin{align*} a&=\sqrt{169 - 144}\\ &=\sqrt{25}\\ & = 5 \end{align*}$$

\]

Step2: Calculate the perimeter

The perimeter \(P\) of a triangle is the sum of all its side - lengths. So \(P=13 + 12+5\).
\[P=30\]

Answer:

30