Question

triangle sides are 60m , 60m, 96 m find area by heron formula​

Answer 1

hope it will help you see attachment

Answer 2

Answer:

If the sides of the triangle are 60m, 60m, 96 m, then the area of the triangle is 1728 sq. m.

Step-by-step explanation:

Given: The triangle sides are 60m, 60m, 96 m

Find the area of the triangle by using the heron formula​.

Formula:

$S =\frac{a+ b+c}{2}$

And the area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$

Step 1: Find semi-perimeter

a = 60, b = 60 and c= 96

$S =\frac{a+ b+c}{2}\\= \frac{60 + 60 + 96}{2} \\= \frac{216}{2} \\= 108$

Step 2: Find the area of the triangle

The area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$

 = $=\sqrt{108(108 - 60)(108 - 60)(108 -96)}\\=\sqrt{108(48)(48)(12)}\\= \sqrt{12\times 9 \times 48 \times 48 \times 12} \\= 12 \times 48 \times 3\\= 1728 m^2$

So, the area of the triangle is 1728 sq. m.