Inequalities Triangles Introduction

We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to the concept of inequalities.

Basically, an inequality states that two quantities are not equal. More specifically it states that one quantity is greater (or lesser) than the other. In triangles we compare sides or angles which are unequal. When we say that one particular side of the triangle is greater than another side, we mean that the length of the first is greater than that of the second. Similarly, when we say that one angle of a triangle is greater than another angle, we mean that the measure of the first is greater than the measure of the second.