Question

Draw a sufficiently large ∆ABC. Draw medians; seg AR, seg BQ and seg CP of ∆ABC. Name the point of concurrence as G. Measure the lengths of segments from the figure and fill in the boxes in the following table.

l(AG) = ...	l(GR) = ...	l(AG): l(GR) = ...
l(BG) = ...	l(GQ) = ...	l(BG): l(GQ) = ...
l(CG) = ...	l(GP) = ...	l(CG): l(GP) = ...

Observe that all of these ratios are nearly 2 : 1

Answer 1

l(AG) = 2.9	l(GR) = 1.4	l(AG): l(GR) = 2.8/1.4 = 2/1
l(BG) = 2.4	l(GQ) = 1.2	l(BG): l(GQ) = 2.4/1.2 = 2/1
l(CG) = 2.8	l(GP) = 1.4	l(CG): l(GP) = 2.8/1.4 = 2/1