Q6 of 76 Page 11

ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE=CF.


Given,


ABC is an isosceles triangle


AB = AC


BE and CF are two medians


To prove: BE = CF


Proof: In


CE = BF (Since, AC = AB = = AB = CE = BF)


∠ECB = ∠FBC (Angle opposite to equal sides are equal)


BC = BC (Common)


Therefore, By SAS theorem


BEC


(By c.p.c.t)


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