6. In ∆ABC, AB = AC and AD I BC, BE 1 AC and CF 1 AB. Then, LABC is symmetrical about
(d) none of these
(b) BE
(c) CF
(d) none of these
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Answer:
ABC,ab=ac
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This answer should match
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• In triangle ABE and triangle ACF
BE=CF (Given)
∠A=∠A (Common)
∠AEB=∠AFC=90°
By AAS congruent rule ABE ≅ ACF
AB=AC (CPCT)
Similarly
BCF ≅ ABD
AB=BC
AC=BC
AB=AC
AB = BC = AC..... Proved
©© The triangle is a equaliteral triangle
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