MathDB

3

Part of 2017 Argentina National Olympiad

Problems(1)

computational, perimeter 100, AP/PM = 7/3, incenter related

Source: 2017 Argentina OMA L3 p3

6/19/2020
Let ABCABC be a triangle of perimeter 100100 and II be the point of intersection of its bisectors. Let MM be the midpoint of side BCBC. The line parallel to ABAB drawn byI I cuts the median AMAM at point PP so that APPM=73\frac{AP}{PM} =\frac73. Find the length of side ABAB.
geometryperimeterincenter