Question

sides of a traingle are in the ratio of 12:17:25 and it's perimeter is 540 cm. find its area? (herons formula)

Answer 1

Plz mark it as brainliest...

Answer 2

hey!

here is answer

let the sides of triangle be x

then

its perimeter is=540 cm

perimeter of. triangle =sum of all sides

12x+17x+25x=540

5454x=540


x=540/54

x=10

put the value of. x

12x=12*10=120

17x=17*10=170

25x=25*10=250

heron's formula.

= first we find s

s=a+b+c/2

or

perimeter /2

s=540/2

s=270

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


$\sf{ \sqrt{270(270 - 120)(270 - 170)(270 - 250)} }$


$\sqrt{270(150)(100)(20)}$


$\sqrt{81000000}$

$\bf{9000 \: cm ^{2} }$



hope it helps

thanks