“

a < b+c b <
a+c c < a+b ---(1)

This theorem is most important for competitive exams. You can find Geometry-12 problem on this blog, which is based on this theorem.

**Length of any side of a triangle is less than the sum of the lengths of other two sides**”
From this we can easily derive the following:

a > b~c b
> a~c c > a~b ---(2)

From (1) and (2),

**b~c < a < b+c a~c < b < a+c a~b < c < a+b**

This theorem is most important for competitive exams. You can find Geometry-12 problem on this blog, which is based on this theorem.

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