Waste less time on Facebook — follow Brilliant.
×

Olympiad proof problem

There is a convex quadrilateral ABCD and it's diagonals intersect at P . PE,PF,PG and PH are the altitudes from point P to sides AB,BC,CD and DA respectively.Prove that this quadrilateral will have an incircle only if 1/ PE + 1/PG = 1/PF + 1/ PH .

Note by Raven Herd
9 months, 4 weeks ago

No vote yet
1 vote

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...