Question

find the area of a triangle whose sides are on the ratio 12:17:25 and perimeter is 540 cm

Answer 1

heya !!!,

it's too easy ,

let the ratio of sides triangle be x .

then 1st side be 12x .
2nd ,,,,,,,,,,,,,,,17x.
and3rd,,,,,,,,,,,25।

perimeter of triangle =side +side +,side.

12x+17X+25x=540.

=)54x=540

=)x=10. ...........

now 1st side =12×10

=)120 .
2nd side =)17×10=170
3rd side =25×10=250

now by using herons formula ...
s=1/2(120+170+250)
s=540/2
s=270.
◆formula of herons.

=)√s(s-a)(s-b)(s-c)

=)√270(270-120)*(270-170)*(270-250)

=)√270(150)(100)(20)

=)√(2*5*3*3*3*2*3*5**5*2*2*5)

=)2*2*5*5*3*3

=)900cm^2Ans

hope it help you☺

@rajukumar☺☺☺

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