Internal bisector of ∠A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and side AB at F. If a,b, c represent sides of ΔABC,then
(a) AE is HM of b and c
(d) The ΔAEF is isosceles
Correct option: (a, b, c, d)
Explanation:
Since, AD ⊥ EF and, DE = DF and AD is bisector.
=> ΔAEF is isosceles.
Hence, (a), (b), (c), (d) are correct answers.