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AD is the median of ΔABC .O is the midpoint of AD. BO, when extended, meets AC at E. Prove that BO=3 OE.
 
answer it.
24 days ago

Answers : (1)

Aditya Gupta
713 Points
							
so the magic construction is to construct a line through D parallel to BE, and let it meet AC at P.
now AE=EP=PC because of mid point theorem applied twice.
that means DP=2OE (again mid point)
also, BE=2DP
or BO+OE=2(2OE)
or BO+OE=4OE
or BO=3OE
24 days ago
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