A triangle PQR has median lines PS, QT and RU. The median lines PS and QT meet at a point G such that PG : GS = 1: h and QG : GT = 1: k.
a) Show that GQ + GR = -2hGP and GP + GR = -2kGQ
b) Deduce that h=k=1/2. Hence, show that the median line PS, QT and RU of the triangle PQR are concurrent at G.
发表于 3-10-2012 10:03 AM
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