Question

Find the area of equilateral triangle formed by (a, 1), (1, b) (0, 0) where 0 < a, b < 1.
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Answer 1

Area of triangle = 1/2 [x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

                            = 1/2 [a(b-0) + 1(0-1) + 0(1-b)]

                            = 1/2 [ab - 1  + 0]

                            = 1/2 [ab - 1] sq units