sides of a triangle in the ratio 3:5:7 and perimeter 300. find ita area ​

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sides of a triangle in the ratio 3:5:7 and perimeter 300. find ita area

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Valentina 2 months 2021-12-03T07:00:58+00:00 1 Answer 0 views 0

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    2021-12-03T07:02:01+00:00

    Answer:

    ⇒Ratio of sides = 3:5:7


    Let sides be 3x, 5x, 7x


    So 3x + 5x + 7x = 300m

    ⇒15x = 300m


    x = 20 m

    Sides are 60m, 100m, 140m

    s = 300/2

    s=150

    Herons Formula = \sqrt{s(s-a)(s-b)(s-c)}

    \sqrt{150(90)(50)(19)}\\

    \sqrt{5*3*10*3*3*10*5*10*10}

    ⇒100*5*3\sqrt{3}\\

    ⇒1500\sqrt{3}\\

    Therefore the area o triangle is 1500\sqrt{3}\\

    Hope it helps you

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