Question

In an isosceles triangle ABC where AB=AC and D is a point on the produced side BC, can we prove that AD>AB?

Answer 1

Question:—

• In-an-isosceles-triangle-ABC-where-AB-AC-and-D-is-a-point-on-the-produced-side-BC-can-we-prove-that-AD>AB?

Answer:—

In the isosceles triangle AB = AC and D is a point on the side of BC produced. Since AC = AB, <ACB = <ABC, both acute. Now <ACD is supplementary of <ACB, hence <ACD is obtuse. In triangle ACD, side AD is opposite the obtuse angle hence must be the longest of the three sides of triangle ACD, hence AD > AB.