Find the altitude of an equilateral triangle when each of its side is

1.	Find the altitude of an equilateral triangle when each of its side is \'a\'
Answer» Here ABC is an equilateral triangle with each side as \'a\'.therefore AD Is the altitude which bisects the base BC into 2 equal halves.therefore in triangle ABDAD^2+BD^2=AB^2 ( Pythagoras theorem)=>AD=√a^2-a^2/4=>AD=√3a/2.therefore altitude of the triangle is √3a/2.

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