Question

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

Answer 1

Answer:

Step-by-step explanation:

lets take sides to be

12x +17x +25x = 180  

first find x so,

54x = 180

x = 180/ 54

x = 3

now put the value and appliy triangle area formula

Answer 2

Answer:

900

Step-by-step explanation:

let the sides be 12x,17x,25x

then 12x+17x+25x=54x

and it is given 54x=540

so x=10

then sides are 120,170,250

then apply herons formula i.e √s(s-a)(s-b)(s-c) where s=(a+b+c)/2

s=(120+170+250)/2

=540/2

=270

area =√270(270-120)(270-170)(270-250)

=√270×150×100×20

=900