area of triangle is 160cm² and sides are in ratio 3:4:5 find its perimeter Question area of triangle is 160cm² and sides are in ratio 3:4:5 find its perimeter in progress 0 Math Valentina 1 week 2021-09-11T04:31:47+00:00 2021-09-11T04:31:47+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Step-by-step explanation:area of triangle =√s[(s-a)(s-b)(s-c)]/2..{heron’s formula}………………s=perimeter/2 …..s=3x+4x+5x/2 =12x/2 =6x

160=√6x[(6x-3x)(6x-4x)(6x-5x)}

160=√(6x)(3x)(2x)(1x)

160=√(18x)(2x)

160=√2x*3x*3x*2x= 2x*3x

160=6x

160/6=x

26.66…

sides of triangle will be

3x=3×26.66…=80cm

4x=4×26.66…=106.666…cm

5x=5×26.66…133.333…cm

perimeter =80+106.666+133.333

=319.999[probably]