Answer:
[tex]A=2\sqrt{14}\ units^2[/tex]
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have
[tex]a=5\ units,b=6\ units,c=3\ units[/tex]
Find the semi-perimeter s
s=[tex]\frac{5+6+3}{2}=7\ units[/tex]
Find the area of triangle
[tex]A=\sqrt{7(7-5)(7-6)(7-3)}[/tex]
[tex]A=\sqrt{7(2)(1)(4)}[/tex]
[tex]A=\sqrt{56}\ units^2[/tex]
simplify
[tex]A=2\sqrt{14}\ units^2[/tex]
