What is the area of triangle ABC where AB = 5 cm, BC = 12 cm and angle ABC = 50 degrees?

To find the area of a triangle where the length of the base and perpendicular heights are not known, use the sine rule to find the area. This is: Area = 0.5 x a x b x sin(angle between lengths a and b) Hence for the above numbers, area = 0.5 x 5 cm x 12 cm x sin(50 degrees) = 23 sq. cm (put numbers into calculator)