SOLUTION
We want to find the area of the triangle in the image.
To do this, we will make use of the Heroes formula which states
[tex]\begin{gathered} A=\sqrt{s(s-a)(s-b)(s-c)} \\ where\text{ s =}\frac{a+b+c}{2} \\ a,b\text{ and c are the sides of the triangle } \end{gathered}[/tex]applying this, we have
[tex]\begin{gathered} s=\frac{13+13+10}{2} \\ s=\frac{36}{2} \\ s=18 \end{gathered}[/tex]The area A becomes
[tex]\begin{gathered} A=\sqrt{18(18-13)(18-13)(18-10)} \\ =\sqrt{18\times5\times5\times8} \\ =\sqrt{3,600} \\ =60\text{ units}^2 \end{gathered}[/tex]Hence the answer is 60 square units
