Explain Heron's formula.

It is given as:-  

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

For example,

Consider a triangle of sides 6,8 and 10.

First, we need to find semi perimeter, s

$s = \frac{6+8+10}{2} = \frac{24}{2} = 12$

Substitute 's ' and a,b,c in the formula,

$A= \sqrt{12 (12-6)(12-8)(12-10)}$

$A= \sqrt{12 \times 6 \times 4 \times 2}$

$displaystyle A=sqrt{12( 12-6)( 12-8)( 12-10)}$ displaystyle A=sqrt{12times 6times 4times 2} displaystyle A=sqrt{576} displaystyle A= 24unit^{2}