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Question
What is the condition for three sides AB, BC and AC to form a triangle?
What is the condition for three sides AB, BC and AC to form a triangle?
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Solution
The correct option is D 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.
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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