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

2 Answers

0 votes

Answer:

Explanation:

m+n>p

n+p>m

p+m>n

User John Weldon
by
6.7k points
5 votes

Answer:

B) n < m + p

Explanation:

The question is incomplete. Here are the options for this question :

A) m > n + p

B) n < m + p

C) p > m + n

D) p < m - n

For a triangle of sides a, b and c the sum of two sides must be greater to the remaining side. Therefore, we have the following equations :

a + b > c

a + c > b

b + c > a

For the exercise, the first option A) is incorrect. It should be m < n + p

Otherwise, the option B) is correct.

The option C) has the same problem that option A).

It should be p < m + n

Option D) p < m - n can be rearrange as : p + n < m that is wrong. It should be p + n > m

The only correct option is B) n < m + p