the height of an equilateral triangle is 10cm.then its area is
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☞Let each side of the Δ be x cm.
Then, as altitude bisects the base
QS=SR=2x
In ΔPQS,
(2x)2+102=x2
⇒4x2+100=x2
⇒43x2=100
⇒x2=3400
Area of the equilateral Δ=43x2
=43×3400=3100cm2
hope it helps you
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