From the figure and statement provided, select the proper TO PROVE statement.If two angles of a triangle are equal, the sides opposite those angles are equal β
Accepted Solution
A:
Answer:AB = BC Proved.Step-by-step explanation:See the diagram attached to this answer.
Given in a Ξ ABC, β A = β C
Then we have to prove that AB = BC.
Let us draw a perpendicular from vertex B on the base AC and it intersects AC at D.
So, β BDC = β BDA = 90Β°
Now, between Ξ ABD and Ξ CBD, Β (i) BD is the common side. Β (ii) Β β BDC = β BDA = 90Β° {Given}
and (iii) β A = β C {It is also given}
So, we can say Β Ξ ABD β Ξ CBD.
Therefore, AB = BC {Corresponding sides} (Proved)