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We know that anything congruent is equal. Unequal things exhibit a property called inequalities.
Example:
Let us look at some examples of inequalities.
1. Two unequal lines
2. Two unequal angles
3. Two unequal boxes
In this chapter, we will deal only with inequalities in triangles.
Let us look at a few theorems on inequalities in triangles.
Theorem 6
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater).
Theorem 7
In any triangle, the side opposite to the larger (greater) angle is longer.
Theorem 8
The sum of any two sides of a triangle is greater than the third side.
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