Coordinate geometry

If G is the centroid and I the in-centre of the triangle, with vertices A(-36,7), B(20,7) and C(0,-8), then, find the value of GI.

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39
Dr.House ·

u can right away evaluate the centroid

now coming to the incentre

u have coordinates of all the 3 vertices, so what u can do is construct the equations of the 3 sides of the triangle and then construct the equations for any 2 angular bisectors

then find point of intersection of bisectors and inturn the value of GI

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