Find the coordinates of the centre of the circle inscribed in a triangle whose vertices are (-36, 7), (20, 7) and (0, -8).

Key points to solve the problem:


The idea of distance formula- Distance between two points P(x1,y1) and Q(x2,y2) is given by- PQ =



Incentre of a triangle - Let A(x1,y1) , B(x2,y2) and C(x3,y3) be the 3 vertices of ΔABC and O be the centre of the circle inscribed in ΔABC


O = where a, b and c are length of sides opposite to A , B and C respectively.


Given, coordinates of vertices of the triangle as shown in figure:



We need to find the coordinates of O:


Before that, we have to find a ,b and c. We will use the distance formula to find the same.


As, a = BC =


b = AC =


and c = AB =


coordinates of O =


…ans


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