In the diagram, ABC is a triangle in which AB = 6 cm, BC = 4 cm

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In the diagram, ABC is a triangle in which AB = 6 cm, BC = 4 cm and angle ABC = 2π/3­. The line CX is perpendicular to the line ABX.


a. Work out the exact length of BX.

b. Show that angle CAB = tan–1 (√3/4)­.

c. Show that the exact length of AC is√ 76 cm.

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