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The height of equilateral triangle is 7root3cm find its perimeter

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Let ABC be the equilateral triangle,
and PC be the line joining the mid point of A and C.
We know that equilateral triangle has equal angles which means

Now,
in triangle AHC
Sin(THETA) = AH/AC

That is...
Sin(60) = (7root3)/AC

or AC = (7root3)/Sin(60)

AC=14

Perimeter of equilateral triangle ABC = 3 x Side
= 3 x 14
= 42

Posted on Sep 03, 2010

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