Mathematics
ABC is an equilateral triangle. If AD bisects angle A, prove that AD is perpendicular bisector of BC.
Related Questions
In the given figure, AD = DB = DE, ∠EAC = ∠FAC and ∠F = 90°

Prove that :
(i) ∠AEB = 90°
(ii) △ CEG is isosceles
(iii) ∠CEG = ∠EAF.
(i) In an isosceles triangle the angles are in the ratio 7 : 4 : 7. Find each base angle of the triangle.
(ii) Find the angles of an isosceles triangle, if the ratio of the base angle to the vertical angle 2 : 5.
In the following figure, AE//BC. Find values of x and y.
