10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    The sum of the area of each staircase is:

    A) 6 square unit

    B) 12 square unit

    C) 10 square unit

    D) None of these

    Correct Answer: A

    Solution :

    Using the formula,
    Area of triangle \[=\frac{1}{2}\times base\times height\]
    Sum of the area of each staircase
    \[=\frac{1}{2}\times 1\times 2+\frac{1}{2}\times 2\times 1.6+\frac{1}{2}\times 2\times 1.6+\frac{1}{2}\times 2\times 1.8\]
    \[=\frac{1}{2}\times (2+3.2+3.2+3.6)=\frac{1}{2}\times 12=6\]
    square unit So, option [a] is correct.

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