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The construction of triangle ABC, given that BC=3 cm is possible when the difference between AB and AC is equal to

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3.2 cm

3.1 cm

3 cm

2.8 cm

answer is D.

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Detailed Solution

Let the length of AB be x and AC be y

A triangle can be formed if the sum of any two sides is greater than the third side.

i.e, BC+AC>AB

Or,3+AC>AB

Or, 3>AB−AC

Or,AB−AC<3

So only option D is correct.

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