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17 June, 16:33

Which of the following could be the lengths of three sides of a triangle?

A) 3, 4, 5

B) 2, 5, 8

C) 2, 12, 15

D) 3, 3, 7

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Answers (1)
  1. 17 June, 19:04
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    For three numbers to represent lengths of the sides of a triangle, the sum of each pair must be greater than the remaining side.

    A)

    3 + 4 = 7

    3 + 5 = 8

    5 + 4 = 9

    B)

    2 + 5 = 7

    2 + 8 = 10

    5 + 8 = 13

    C)

    2 + 12 = 14

    2 + 15 = 17

    15 + 12 = 27

    D)

    3 + 3 = 6

    3 + 7 = 10

    3 + 7 = 10

    In all these, only A have the sum of the numbers greater than the numbers itself. So the answer is A.
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