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A surveyor marks out a triangular plot of land. In triangle ABC, side AB = 7 m, side BC = 19 m, and the angle ABC = 140°.

Find the area of the triangle, correct to one decimal place (in square metres).

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Worked solution — answer: 42.7

A = ½ab sin C

= ½ × 7 × 19 × sin 140°

= 42.7 m²

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