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If Two Angles of a Triangle Are Unequal Then the Side Opposite to the Greater Angle Is Greater Than the Side Opposite to Smaller Angle

How deal with...

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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