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In a triangle ABC, if AB, BC and AC are the three sides of the triangle, then which of the following statements is necessarily true?

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AB + BC < AC

AB + BC > AC

AB + BC = AC

A B^{2} + B C^{2} = A C^{2}

answer is B.

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Detailed Solution

Given a triangle ABC, with sides AB, BC and AC.
It is a figure of triangle ABC,
Question Image

The sum of any two sides of a triangle is greater than the third side .
In

△ ABC, AB, BC

and

AC

are the three sides ,
So,

AB + BC > AC

.
Hence, the correct option is 2.

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