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Question

Drawn an isosceles triangle. Locate its centroide, orthocentre, circumcentre and incentre. Verify that they are collinear.

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Solution

In ABC,AB=AC,ADBCBD=BCBAD=DAC
ADBC, orthocentre lies on AD
BD=BC,centroid lies on AD
BAD=DAC,incentre lies on AD
centroid,orthocentre,circumcentre,incentre are collinear

1095013_1058962_ans_251e97e4d2c144e5a65a1d9a34e7d063.png

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