Question

find the area of triangle with sides 20cm 26cm and 30cm​

Answer 1

$\huge\sf{\underline{\underline{Question:-}}}$

find the area of triangle with sides 20cm 26cm and 30cm

$\huge\bf{\underline{\underline{Answer:-}}}$

Given:-

A triangle In which the sides are 20cm,26cm,30cm

To find the area of Triangle we use Heron's Formula

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

where :-

a=20cm

b=26cm,

c=30cm

$\sf Where\: S=\frac{a+b+c}{2}\\ \sf \frac {20+26+30}{2}\\ \sf\implies s=\frac{76}{2}=38cm$

Now according to question

$\sf Area\:of\: triangle= \sqrt{38(38-20)(38-26)(38-30)}\\ \sf\sqrt{38×18×12×8}\\ \sf\implies\sqrt{684×96}\\ \sf \implies\sqrt{65664}\\ \sf \implies =256.249\\ \sf\implies 256.25cm{}^{2}$

$\boxed{\blue{\rm{The \:area \:of \:Triangle= 256.25cm{}^{2}}}}$