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SSC Quantitative Aptitude Coordinate Geometry Question Bank Coordinate Geometry and Graphs of Linear Equations (II)

  • question_answer
    The area of a triangle whose vertices are \[(2,-\,2),\]\[(-\,8,12)\]and \[(-\,6,-10),\]is

    A) 18 sq units

    B) 24 sq units

    C) 48 sq units

    D) 96 sq units

    Correct Answer: D

    Solution :

    [d] The area of the triangle formed by vertices A\[\left( 2,-2 \right),\] B \[\left( -\text{ }8,12 \right)\]and C \[\left( -6,-10 \right)\] \[=\frac{1}{2}[2\,(12+10)+(-8)(-10+2)+(-\,6)(-2-12)]\] \[=\frac{1}{2}[44+64+84]\] \[=\frac{1}{2}\times 192=69\] sq units


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