Prove that in an equilateral triangle the orthocentre, circumcentre, incentre and centroid are on the same point.

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Arun · Answer

Dear StudentDraw a median on any one side. Prove the 2 triangles obtained by dividing as congruent. Obtain the result that it meets the base at 90 degrees and also that the it bisects the angle of the triangle from it it emerges. Doing the same for the other 2 sides would prove thatin an equilateral triangle the centroid orthocentre circumcentre and incentre are one and the same point RegardsArun (askIITians forum expert)

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Prove that in an equilateral triangle the orthocentre, circumcentre, incentre and centroid are on the same point.

Prove that in an equilateral triangle the orthocentre, circumcentre, incentre and centroid are on the same point.

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