• Draw an isosceles triangle. Locate its centroid, orthocentre, circumcentre
and incentre. Verify that they are collinear.
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Step-by-step explanation:
In △ABC,AB=AC,AD⊥BC⟹BD=BC⟹∠BAD=∠DAC
∵AD⊥BC, orthocentre lies on AD
BD=BC,centroid lies on AD
∠BAD=∠DAC,incentre lies on AD
∴centroid,orthocentre,circumcentre,incentre are collinear
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