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20 April, 02:05

Lengths of segments

Triangle

Not a triangle

10 m, 14 m, 29 m

10 m, 21 m, 29 m

10 m, 29 m, 37 m

10 m, 29 m, 40 m

What is a triangle, and what isn't a triangle?

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Answers (1)
  1. 20 April, 02:13
    0
    Triangles:

    10 m, 21 m, 29 m

    10 m, 29 m, 37 m

    Not triangles:

    10 m, 14 m, 29 m

    10 m, 29 m, 40 m

    Step-by-step explanation:

    For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.

    Let us check each of the options.

    Option 1: 10 m, 14 m, 29 m

    The sum of lengths 10 m and 14 m must be greater than 29 m.

    10 + 14 = 24 < 29

    So, this is not a triangle.

    Option 2: 10 m, 21 m, 29 m

    10 + 21 = 31 > 29

    21 + 29 = 50 > 10

    29 + 10 = 39 > 21

    Therefore, it is a triangle.

    Option 3: 10 m, 29 m, 37 m

    10 + 29 = 39 > 37

    29 + 37 = 66 > 10

    37 + 10 = 47 > 29

    Therefore, it is a triangle.

    Option 4: 10 m, 29 m, 40 m

    10 + 29 = 39 < 40

    So, this is not a triangle.
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