Question

In triangle ABC,angle B=angle C show that triangle ABC congruent triangle ACD(by ASA congruence rule).
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>>In quadrilateral ACBD, AC = AD and AB bi

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In quadrilateral ACBD,AC=AD and AB bisects ∠A. Show that △ABC≡△ABD. What can you say about BC and BD

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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.