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Find the area of a triangle whose sides ...

Find the area of a triangle whose sides are respectively 150 cm, 120 cm and 200 cm.

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Solution
So, semi perimeter will be,
`s=2/150+120+200`
=`235 cm`
So,By herons's formula:-
Area= '`sqrt(s(s−a)(s−b)(s−c))`'
where '`a=150 cm b=120 cm c=200 cm`'
By implying values:-
Area= '`sqrt(235(235−150)(235−120)(235−200))`'
Area='`sqrt(235×85×115×35)`'
Area='`sqrt (80399375)`'
Area=`8966.57 cm^2`.
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