Question

8. If D and E are points on sides AB and AC respectively of a A ABC such that
DE || BC and BD = CE. Prove that A ABC is isosceles.
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Answer 1

Answer:

Answer Expert Verified

GIVEN : In Δ ABC, DE || BC and BD = CE. To prove : Δ ABC is isosceles. So, AD + BD = AE + CE. Therefore, AB = AC.

Answer 2

Answer:

D and E are points on the sides AB and AC respectively such that BD = CE . ... This is called Basic Proportionality Theorem (BPT), the converse of which was used to prove sides DE and BC parallel. Basic properties of triangles should be used to solve such kinds of questions.

Explanation:

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