(a) Using a ruler and pair of compasses only, construct:
(i) a triangle ABC, with |BC| = 9cm, |AC| = 8 and |AB| = 6 cm;
(ii) the perpendicular bisector of line BC;
(iii) the bisector of angle ACB

(b) Label the point of intersection of the two bisectors as Y.

(c) Draw a line to join B and Y.

(d) Measure
(i) |BY|;
(ii) |YC|;
(iii) the base angles of triangle BYC.

(e) What type of triangle is BYC?