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| Too many to work with (Posted on 2019-03-21) |
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Let ABC be a triangle with incircle k. Let D, E and F be the points of tangency of k with AB, BC and CA. Let G be the intersection of DF and BC and H be the intersection of DE and AC (G, H, E and F are on the same side of AB). Let M be the midpoint of FH and N be the midpoint of EG.
If the area of ABMN is 100 and the area of CMN is 4, find the area of EFGH.
Can you generalize this>
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