Find the exact area of the triangle whose vertices are

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Find the exact area of the triangle whose vertices are P ⁣(3, 2)P\!\bigl(\sqrt{3},\,2\bigr), Q ⁣(5, 43)Q\!\bigl(5,\,4\sqrt{3}\bigr) and R ⁣(−2, 12)R\!\bigl(-2,\,\tfrac{1}{2}\bigr). Give your answer in simplest surd form.

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