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MATHEMATICS
Example 9 Using integration find the area of region bounded by the triangle whose
vertices are (1, 0), (2, 2) and (3, 1) Solution Let A(1, 0), B(2, 2) and C (3, 1) be
the vertices of a triangle ABC (Fig 8 18) Area of ∆ABC
= Area of ∆ABD  + Area of trapezium
    BDEC – Area of ∆AEC
Now equation of the sides AB, BC and
CA are given by
y = 2(x – 1), y = 4 – x, y = 1
2  (x – 1), respectively