# Chapter 8 - Applications of Trigonometric Functions - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 546: 58

Use the formula $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2}$.

#### Work Step by Step

We know that by Heron's theorem $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2}$ and $a$, $b$ and $c$ are the sides of the triangle and $K$ is the area of the triangle. Hence, to find the area of a triangle where the lengths of three sides are given, I simply use the formula above.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.