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Question

How deal with problems based on inequalities of a triangle? Give tips and short cuts to solve problems based on inequlaties of a triangle. Sir help me.

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Solution

Triangle Inequality Theorem - The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If ABC is a triangle, then the following inequalities are true: AB < BC + AC, BC < AB + AC,
AC < AB + BC



Use the triangle inequality theorem and examine all 3 combinations of the sides. As soon as the sum of any 2 sides is less than the third side then the triangle's sides do not satisfy the theorem.

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