Chapter 8.4, Problem 55AYU

To determine

To find: The formula that will be used to find the area if three sides is given.

Answer to Problem 55AYU

The formula of area will be $A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$ .

Explanation of Solution

Given:

The three sides is given.

Calculation:

Let three sides are $a,b$ and $c$ .

First find the value of $s$ by using formula $s=\frac{1}{2}\left(a+b+c\right)$ then use the formula of area $A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$ .

Hence, the formula of area will be $A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$ .