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