Subject

    Quantitative Aptitude

    Topic

    Percentage

    In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?

    ক)
    x>5
    খ)
    x<9
    গ)
    5≤ x ≤ 9
    ঘ)
    4<x <14

    Explanation

    If we let the side with length 9 as the largest side of the triangle, then 5 + x must be greater than 9 to form a triangle. Thus,  5 + x > 9 or, x > 9 - 5 or, x > 4 If we let x be the largest side. Then, x must be less than 5 + 9 So, x < 14 Thus, by combining it, we get, 4

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