6. In an isosceles triangle ABC, AB = AC. If AB and AC are produced to D and
E, respectively, so that BD = CE. Prove that BE = CD.
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Given ...
ab= ac
bd=ce
and abc is an isoceles triangle
to prove...
bd= ce
ad= ae
proof. ..
In triangle abd and in triangle ace
ab= ac (given )
bd=ce (given )
angle abd =angle ace( ang
opp to eq side are eq)
therefore
triangle abd=triangle ace ( by sas)
so
db= ce (by cpctc)
lly ,
by cpctc
ad = ae
I hope these will help u
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