Re: 11524 - InCircle

[Shahidul.CSE]

Let the center of the circle is O.
I found the hints that:

i) m1m2m3 = n1n2n3
ii) BP=BQ=OB^2 - r^2, CQ=CR=OC^2 - r^2, AP=AR=OA^2 - r^2
iii) AB=AP+BP, BC=BQ+CQ, AC=AR+CR
iv) Area = sqrt(s(s-a)(s-b)(s-c))

So if I am able to calculate OA, OB and OC, it is possible to calculate the area of ABC.
Please tell me how can I calculate OA, OB and OC ? Or any other hints or clues ?