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Question

What is the condition for three sides AB, BC and AC to form a triangle?

A
AB+BC>AC
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B
AC+BC>AB
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C
All of these
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D
AC+BA>BC
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Solution

The correct option is C All of these
In a triangle, sum of any two sides is always greater than the third side.
So the condition will be that AB + BC > AC. But for any combinations of the sides, this should hold true. So the conditions are AB + BC > AC, AC + BA > BC and AC + BC > AB.

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