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Answer:
equilateral triangle
so we have all sides measuring 2a
also all the angles 60°
refer attachment for labelling of vertices and angles
so now we draw perpendicular to BC from vertice A which bisects BC at 90°
which is also height of our triangle
to find AD we use Pythagoras theorem
(AB)^2= (AD)^2+(BD)^2
(2a)^2=x^2+(a)^2
x^2 = 4a^2-a^2
x^2 = 3a^2
x= √3 a
so height of our triangle is √3 a
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