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13 February, 17:29

Which three length cannot be the length of the sides of a triangle

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  1. 13 February, 21:00
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    The missing choices are here

    A. 23 m, 17 m, 14 m

    B. 11 m, 11 m, 12 m

    C. 5 m, 7 m, 8 m

    D. 21 m, 6 m, 10 m

    Answer:

    21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D

    Step-by-step explanation:

    There is a fact to form a triangle:

    The sum of the lengths of the two smaller sides must be greater than the length of the third side

    A.

    ∵ The smallest sides are 14 m and 17 m

    ∵ Their sum = 14 + 17 = 31 m

    ∵ The third side is 23 m

    ∵ 31 > 23

    ∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle

    B.

    ∵ The smallest sides are 11 m and 11 m

    ∵ Their sum = 11 + 11 = 22 m

    ∵ The third side is 12 m

    ∵ 22 > 12

    ∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle

    C.

    ∵ The smallest sides are 5 m and 7 m

    ∵ Their sum = 5 + 7 = 12 m

    ∵ The third side is 8 m

    ∵ 12 > 8

    ∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle

    D.

    ∵ The smallest sides are 6 m and 10 m

    ∵ Their sum = 6 + 10 = 16 m

    ∵ The third side is 21 m

    ∵ 16 < 21

    ∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle
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