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Question

In a triangle ABC, AB, BC and AC are the sides, then which of the following holds true?


A

AB - BC < AC

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B

AB + BC < AC

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C

AB + BC = AC

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D

AB - BC > AC

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Solution

The correct option is A

AB - BC < AC


For any triangle, the difference between the two sides is always less than the third side. This holds true for all triangles. Like for a triangle whose sides are 4, cm, 6 cm, and 7 cm, the difference between 7 and 4 is less than 6. This shows that our choice is correct and holds true for any set of sides.


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