Answer to Question #150271 in Geometry for Khan Asf

Question

Median AM and height BH triangle ABC (H - on the side AC) intersect at the point P. Find PH, if a AM = BH = 196, MN = 61, Where N - continuation intersection point AM with a circle around a triangle ABC. In response, write down the sum of possible values PH.

Answer 1

since AM=BH=196

p is the centre of the inscribed circle

where NM is the diameter of the circle

PH=NP=PM=radius of the circle

=61/2

PH =30.5