Re: 11524 - InCircle

All about problems in Volume 115. If there is a thread about your problem, please use it. If not, create one with its number in the subject.

Moderator: Board moderators

Post Reply
Shahidul.CSE
Experienced poster
Posts: 148
Joined: Sun Jul 13, 2014 4:32 am
Location: Rangpur, Bangladesh

Re: 11524 - InCircle

Post by Shahidul.CSE » Mon Nov 17, 2014 7:42 am

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 ?
Md. Shahidul Islam
Dept. of CSE at Begum Rokeya University, Rangpur, Bangladesh
UVa id: http://uhunt.felix-halim.net/id/438420
My facebook account,
Email me: shahidul.cse.brur@gmail.com

Post Reply

Return to “Volume 115 (11500-11599)”