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In Delta ABC, prove that: (a+b+c)/(a-b...

In `Delta ABC`, prove that:
`(a+b+c)/(a-b+c)=cotA/2cotC/2`

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AI Generated Solution

To prove the equation \(\frac{a+b+c}{a-b+c} = \frac{\cot \frac{A}{2}}{\cot \frac{C}{2}}\) in triangle \(ABC\), we will start with the left-hand side (LHS) and simplify it to match the right-hand side (RHS). ### Step-by-Step Solution: 1. **Identify the Semi-Perimeter**: Let \(s\) be the semi-perimeter of triangle \(ABC\): \[ s = \frac{a+b+c}{2} ...
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