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ANSWER:-
Given:
E & F are the mid points of equal sides, AB & AC of a ∆ABC, respectively.
To find:
Show that BF = CE.
Proof:
E & F are the midpoints of AB & AC.
Assume ∆EBC & ∆FCB
EB= FC [E & F are mid-points of AB& AC]
BC = BC [common side]
∠EBC = ∠FCB
[angles opposite to equal side are equal]
Therefore,
∆EBC ≅∆FCB
Thus,
BF = CF [c.p.c.t]
Proved.
Hope it helps ☺️
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