Q:

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

Accepted Solution

A:
Answer:n < m + pStep-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)