Notes On Inequalities in a Triangle - CBSE Class 9 Maths
A triangle has six parts namely three sides and three angles. If two sides of a triangle are equal then the angles opposite to them are also equal and vice versa. In a triangle the angles and the lengths of the sides are proportional. If two sides of a triangle are unequal, the angle opposite to the longer side is larger. In any triangle, the side opposite to the larger angle is longer. The sum of any two sides of a triangle is greater than the third side. If a, b and c are three sides of a triangle, then a + b > c, b + c > a, c + a > b.

#### Summary

A triangle has six parts namely three sides and three angles. If two sides of a triangle are equal then the angles opposite to them are also equal and vice versa. In a triangle the angles and the lengths of the sides are proportional. If two sides of a triangle are unequal, the angle opposite to the longer side is larger. In any triangle, the side opposite to the larger angle is longer. The sum of any two sides of a triangle is greater than the third side. If a, b and c are three sides of a triangle, then a + b > c, b + c > a, c + a > b.

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