Theorem 7.6 : If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater)
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To prove Theorem 7.6: If two sides of a triangle are unequal, the angle opposite to the longer side is larger, we will follow these steps:
### Step-by-Step Solution:
1. **Consider a Triangle**: Let triangle ABC be given such that \( AB > AC \). We need to prove that \( \angle C > \angle B \).
2. **Construct a Point**: Construct a point P on line AB such that \( AP = AC \). Join point C to point P, forming triangle APC.
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