Question

sides of a triangle are 16cm 30cm 24 cm respectively . its area is​

Answer 1

QUESTION:- Sides of a triangle are 16cm 30cm 24 cm respectively . its area is

ANSWER:-

First we will do its semi-perimeter , which is

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

$s = \frac{16 + 30 + 24}{2}$

$s = \frac{ \cancel{70}}{ \cancel2}$

$s = 35$

Now, using Heron's formula

$\sqrt{s(s - a)(s - b)(s - c)}$

$\sqrt{35(35 - 16)(35 - 30)(35 - 24)}$

$\sqrt{35 \times19 \times 5 \times 11 }$

$\sqrt{7 \times 5 \times 19 \times 5 \times 11}$

Now, here 5 is common so we will one 5 outside the root and multiply all numbers in the root

$5 \sqrt{7 \times 19 \times 11}$

$5 \sqrt{1463}$

So, the area of the given equation is

$5 \sqrt{1463}$

HOPE IT HELPS ✌