In figure,BA perpendicular AC, DE perpendicular DF such that BA =DE and BF=EC. Show that triangle WBC congurence to triangle DEF.
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Given : BA=DE
BF=EC
to prove: triangle ABC congruent to triangle DEF
Proof: BF=EC(given)
adding FC to both sides we get
BF+FC=EC+FC
BC=EF-------(i)
so in triangles ABC & DEF
AB= DE(given)
BC=EF(from (i)
angle BAC= Angle FDE(both 90⁰)
so triangle ABC Is congruent to triangle DEF (RHS congruncy)
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