First slide
Cartesian plane
Question

In ΔABC, the sides BC=5, CA=4 and AB=3. If A(0,0) and the internal bisector of angle A meets BC in D(127,127), then incentre of ΔABC is

Moderate
Solution

We have a=5,b=4,c=3

Incentre I divides AD in the ration b+c:a. 

Therefore, incetre coincide with centroid.

Hence, coordinates of I are (1,1) 

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