Answer:
60 square inches
Step-by-step explanation:
In triangle KLM, KL = LM = 13in, KM = 10in. Use the Heron's formula to find the area:
[tex]A=\sqrt{p(p-a)(p-b)(p-c)},[/tex]
where p is half of the perimeter and a, b, c are sides lengths.
Then
[tex]\dfrac{a+b+c}{2}=\dfrac{13+13+10}{2}=18\ in[/tex]
and
[tex]A=\sqrt{18\cdot (18-13)\cdot (18-13)\cdot (18-10)}=\sqrt{18\cdot 5\cdot 5\cdot 8}=5\sqrt{9\cdot 2\cdot 4\cdot 2}=5\cdot 3\cdot 2\cdot 2=60\ in^2.[/tex]
