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7 January, 12:24

The lengths of two sides of

a triangle are 4 and 6.

Which measurement

cannot be the length of the

third side?

A) 6

C) 3

B) 4

D 2

+3
Answers (2)
  1. 7 January, 13:17
    0
    Answer: D) 2

    Step-by-step explanation:

    The sum of two sides of a triangle must be greater than the third side

    Let x represent the unknown side

    Then 4 + 6 > x → x < 10

    and 4 + x > 6 → x > 2

    Therefore; 2 < x < 10

    A) 6 is between 2 and 10

    C) 3 is between 2 and 10

    B) 4 is between 2 and 10

    D) 2 is NOT between 2 and 10
  2. 7 January, 14:50
    0
    D.

    Step-by-step explanation:

    For a triangle to be formed the length of any one of the sides must be less than the sum of the other 2.

    So A can be a triangle as 6 is less than 6+4.

    It is D because 6 = 4 + 2.
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