Question : If D and E are points on sides AB and AC respectively of a ∆ ABC such that DE||BC and BD = CE. Prove that ∆ ABC is isosceles.
Doubt by Saksham
Solution :
Given : A ∆ ABC, DE||BC and BD = CE
To Prove : ∆ ABC is isosceles.
Proof :
DE||BC (Given)
Two sides of the ∆ ABC are equal.
∴ ∆ ABC is an isosceles triangle.