the three sides of a triangle are 150cm,120cm,200cm.find its area?also find the perpendicular on the largest side

the three sides of a triangle are 150cm,120cm,200cm.find its area?also find the perpendicular on the largest side

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  1. Answer:

    We can solve it by Heron’s formula.

    So, semi perimeter will be,

    s=

    2

    150+120+200

    =235 cm

    So,By herons’s formula:-

    Area=

    s(s−a)(s−b)(s−c)

    ,

    where a=150 cm b=120 cm c=200 cm

    By implying values:-

    Area=

    235(235−150)(235−120)(235−200)

    Area=

    235×85×115×35

    Area=

    80399375

    Area=8966.57 cm

    2

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