Answer:
15183.77 square units
Step-by-step explanation:
We are given that
a=240 units
b=127 units
c=281 units
If given sides form triangle then sum of any twos sides is greater than third side.
\(a+b=240+127=367 >c=281\)
Hence, given sides form triangle.
Half perimeter of triangle =\(s=\frac{a+b+c}{2}=\frac{240+127+281}{2}=324 units\)
Heron's formula : Area of triangle =\(\sqrt{s(s-a)(s-b)(s-c)}\)
Apply this formula ,
Area of triangle =\(\sqrt{324(324-240)(324-127)(324-281)}\)
Area of triangle=15183.77 square units
