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A surveyor marks out a triangular plot of land. In triangle ABC, side AB = 19 m, side BC = 14 m, and the angle ABC = 80°.

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

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Worked solution — answer: 131.0

A = ½ab sin C

= ½ × 19 × 14 × sin 80°

= 131.0 m²

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