Question

Find the area of a triangle with sides having length $40,24$ and $32m$

• A. $384m^2$
• B. $364m^2$
• C. $374m^2$
• D. None of the above

Answer 1

The correct option is A $384m^2$

We use heron's formula to find the area of the triangle.

Let us find the semi perimeter:

$S=\frac{40+24+32}{2}=\frac{96}{2}=48$

Now area of the triangle is:

$A=\sqrt{s(s-a)(s-b)(s-c)}=\sqrt{48(48-40)(48-24)(48-32)}=\sqrt{48\times 8\times 24\times 16}=\sqrt{147456}=384$ m${}^2$

Hence, the area of the triangle is $384$ m${}^2$.