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​

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Valentina 1 week 2021-09-11T04:31:47+00:00 1 Answer 0 views 0

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    2021-09-11T04:32:59+00:00

    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]

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