The lengths of three sides of a triangle are m units, n units, and p units, respectively. Which inequality must be true? A) m &g

Question

The lengths of three sides of a triangle are m units, n units, and p units, respectively. Which inequality must be true?

A) m > n + p

B) n < m + p

C) p > m + n

D) p < m – n

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Liliana 2 weeks 2021-10-13T00:43:56+00:00 2 Answers 0

Answers ( )

    0
    2021-10-13T00:45:45+00:00

    The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the inequality that must be true is n < m + p.

    0
    2021-10-13T00:45:49+00:00

    Answer:

    n < m + p

    Step-by-step explanation:

    If ABC is a triangle then the sum of any two sides of ABC will be greater than the third side i.e. AB + BC > CA or BC + CA > AB or CA + AB > BC.

    Now, if the lengths of three sides of a triangle are m units, n units, and p units respectively.  

    Then the inequality must be true is n < m + p,  where m + p is the sum of any two sides which is greater than the third side of n length. (Answer)

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