1) Given a triangle ABC, such that: BC = 6 cm; ABC = 40° and ACB = 60°. 1) Draw the triangle ABC. 2) Calculate the measure of the angle BAC. 3) The bisector of the angle BAC intersects [BC] in a point D. Show that ABD is an isosceles triangle. 4) Let M be the midpoint of the segment [AB]. Show that (MD) is the perpendicular bisector of the segment [AB]. 5) Let N be the orthogonal projection of D on (AC). Show that DM = DN. ​