A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible

Question

A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible values for X

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Khải Quang 3 years 2021-08-05T18:09:14+00:00 1 Answers 43 views 0

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    2021-08-05T18:10:45+00:00

    Answer:

    The inequality range of X is determined as    5 < X < 9

    Step-by-step explanation:

    Given;

    first length of the triangle = 2 inches

    second length of the triangle = 7 inches

    third length of the triangle = X

    From the third length rule of a triangle, the following inequality range will be applied to determine the length of “X”;

    The third length of the triangle must be greater than the difference of the two known sides BUT less than the sum of the two known sides.

    (7 – 2) < X < (7 + 2)

       5 < X < 9

    possible values of X = 6, 7, 8

    Therefore, the inequality range of X is determined as    5 < X < 9

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