Consider the following inequalities in respect of any triangle ABC: 1) AC –AB < BC 2) BC –AC < AB 3) AB –BC < AC Which of the above are correct?

AC-AB AC BC-AC BC AB-BC AB Sum of 2 sides of triangle is always greater than the third side So all three statements are true

Correct Answer: 1, 2 and 3

Explanation:

AC-AB<BC Or AB+BC>AC

BC-AC<AB Or AB+AC>BC

AB-BC<AC Or AC+BC>AB

Sum of 2 sides of triangle is always greater than the third side

So all three statements are true

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