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Geometry

The length of the altitudes of a triangle is 5, 12 and x. How many integral values of x are possible?

1. 5
2. 6
3. 7
4. None of these

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7 comments

  1. Shrey Rawal

    Ans= 9?
    Sum of 2 sides should be greater than than the 3rd side.
    5+12= 17 it means 3rd side is less than 17
    13,14,15,16
    Four values till now
    Now 12-5=7
    (Taking 12, the longer side)
    3rd no should be more than 7
    Values possible are: 8,9,10,11,12
    Five more possible values.

    Hence ans can be 9

  2. Abhishek Tandon

    9

    12-5<side of traingle <12+5
    7<side of triangle<17
    Values possible 6 to 16 (total 9)

  3. Abhishek Tandon

    9

    12-5<side of traingle <12+5
    7<side of triangle<17
    Values possible 8 to 16 (total 9)

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