Equilateral triangles DBC, ECA and FAB are constructed externally on the sides BC, CA and AB of triangle ABC. Prove that AD, BE and CF are also concurrent.

Open in App

Solution

Suggest Corrections

Similar questions

Q. D, E, and F are, respectively the mid-points of sides BC, CA and AB of an equilateral triangle ABC. Prove that DEF is also an equilateral triangle.

Q. In a triangle

A B C, D, E, F

are the mid-points of the sides

B C, C A

and

A B

respectively then prove that,

\to A D = - (\to B E + \to C F)

Q. AD,BE and CF, the altitudes of triangle ABC are equal. Prove that triangle ABC is an equilateral triangle.

In an equilateral triangle ABC; points P, Q and R are taken on the sides AB, BC and CA respectively such that AP= BQ = CR. Prove that triangle PQR is equilateral.

AD and BE and CF are altitudes of ∆ABC .If AD =,BE= CF prove ABC is equilateral triangle

Join BYJU'S Learning Program