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Question

If 'a', 'b' and 'c' are the three sides of a triangle, then choose the incorrect option out of the following options to construct a unique triangle.

A
a + b > c
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B
c - a < b
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C
a + c < b
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D
b + c > a
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Solution

The correct option is C a + c < b
To construct a unique triangle with the three sides given, sum of any two sides must be greater than the third side.

Hence,
Options a and d are correct, and
Option b is same as the option a, so it is also correct.

Only option c is incorrect where sum of two sides 'a' and 'c' is less than the third side 'b'.

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