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`        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.`
7 years ago

110 Points
```										I am afraid you are looking for a trick to solve this problem but there is no onego by the longer routefirst calculate the centroiddropping a line from (-36,7) to the mid point of BC and using the property of 2:3 of centroid.now calculate the incentrefind a perpendicular to AB with an asrbitrary constant k1(I think you can calculate that much)find another perpendicular to BC with an arbitrary constant k2and so for the case of ACfind their intersection point of AB and BC such that the distance between the point of intersection and the lines is same.repaetnow find the distance betwen the incentre and centroidDifficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation.DO APPROVE IF THE ANSWER HELPS YOU.Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.Regards,Askiitians ExpertsRahul- IIT Roorkee
```
7 years ago
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