Question

in quadrilateral ABCD Ac=cd and ab bisect angle a and triangle abc is congruent to triangle abd. The relation between bc and bd is
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Answer 1

Answer:

In △ABC and △ABD,

AC=AD (Given)

∠CAB=∠DAB (AB bisects ∠A)

AB=AB (Common)

∴△ABC≅△ABD (By SAS congruence rule)

∴BC=BD (By CPCT)

∴, BC and BD are of equal lengths.