Question

EXERCISET
In quadrilateral ACBD,
AC = AD and AB bisects CA
(see Fig. 7. 16). Show that AABC E A ABD.
What can you say about BC and BD?​

Answer 1

Step-by-step explanation:

Given: AC = AD

AB bisects ∠A

To prove: ∆ ABC = ∆ ABD

in ∆ABC and ∆ABD

AB = AB

∠CAB = ∠DAB

AC = AD

Therefore, ∆ ABC = ∆ ABD

Therefore, BC = BD

BC and BD are of equal length.

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