Chapter 11.2, Problem 9CE

To determine

To Find: The area.

Answer to Problem 9CE

  $A=30sq.unit$

Explanation of Solution

Given:

  

Given: $5,12,13$

i.e.

  $a=5,b=12,c=13$

Using Heron’s formula

  $\begin{array}{l}s=\frac{1}{2}(a+b+c)\\ s=\frac{1}{2}(5+12+13)\\ s=15\\ now\\ A=\sqrt{s(s-a)(s-b)(s-c)}\\ A=\sqrt{15(15-5)(15-12)(15-13)}\\ A=\sqrt{15(10)(3)(2)}\\ A=\sqrt{900}\\ A=30sq.unit\\ \end{array}$

Hence,

  $A=30sq.unit$