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

Explanation

We have given a circle inscribed in a triangle whose angular points are `(-36, 7), (20, 7) and (0, - 8)`.
Then the vertices of the triangle are `A(−36,7),B(20,7)`and`C(0,−8)`

`a=BC= sqrt((0−20)²+(−8−7)²)`

​`=sqrt((−20)²+(−15)²)`

`=sqrt( 400+225)`

`= sqrt(625)`

`= sqrt(25×25)`

`=25`

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