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Question

In an equilateral triangle ΔABC with sides 5cm. Angle bisectors of A,B,C meet at point O. Measures of OA approximately is

A
2.5
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B
4
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C
3.2
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D
2.8
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Solution

The correct option is A 2.8
Since the triangle given for construction is equilateral, the centroid, circumcentre and the incentre will be the same point.
We know that, the centroid divides the median in the ratio 2:1 starting from the vertex.
Hence, OA=23×4.33=2.8

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