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Grade: 12th pass
        
Statement 1: Centroid and incentre of a triangle always 
lie inside the triangle. 
Statement 2: Lines which divides the two different 
internal angle of triangle, will meet inside the triangle.
one month ago

Answers : (1)

Arun
22299 Points
							The centroid is the concurrent point of the three medians in a triangle. It is the centre of mass of a triangle. One can verify this fact by simple experiments at home with a stiff cut out of triangle of paper or paper board. On a finger tip or a pencil tip a triangle can be balanced horizontally at this point. One can insert a needle and hold the triangle vertically in any position, it will stay balanced. Such a point can't lie outside the triangle.

Like incentre, centroid will lie inside the triangle whatever be it's shape. Whereas, orthocentre and circumcentre can lie outside in obtuse triangles
one month ago
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