Skientist wrote:

**Quote:**

Area of triangle is given as . using area for equilateral trianlge, side of triangle is .

Also using pythagorean theorem height of triangle is

Hi Vips0000

Can you please expand out this element? I can't follow what you've done here (in either case).

Thanks

Skientist

1: "using area for equilateral trianlge, side of triangle is"area for a equilateral triangle is given by \((\sqrt{3}/4)a^2\) , where a is the side of equilateral triangle.

thus \((\sqrt{3}/4)a^2\) =\(24\sqrt{3}\)

=> side of triangle = a =\(4\sqrt{6}\)

2: "using pythagorean theorem height of triangle is"From picture you can see,

\(height^2 + (base/2)^2 = Side^2\)

base and side are same and equal to a, as defined earlier.

=> \(height^2 = a^2 - (a/2)^2\)

using value of a obtained earlier.

=>height = \(6\sqrt{2}\)

Hope it is clear. You better give me 10 kudos now

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