In ΔXYZ, the bisector of ∠Y intersects in P.

(1) If XP : PZ = 4 : 5 and YZ = 6.5, find XY.

(2) if XY : YZ = 2 : 3 and XP = 3.8, find PZ and ZX.

In ΔABC, a line parallel to intersects and in D and E respectively. Fill in the blanks shown in the table :

In ΔABC, the bisector of ∠C intersects in F. If 2AF = 3FB and AC = 7.2 find BC.

In Δ ABC, the bisector of ∠A intersects in D. Prove that

and

□ ABCD is a trapezium such that || . and such that || . Prove that .