If `cosA/2=sqrt((b+c)/(2c))` , then prove that `a^2+b^2=c^2dot`

Explanation

To prove that \( a^2 + b^2 = c^2 \) given that \( \frac{\cos A}{2} = \sqrt{\frac{b+c}{2c}} \), we can follow these steps:

### Step 1: Square both sides of the equation
Starting with the given equation:
\[ \frac{\cos A}{2} = \sqrt{\frac{b+c}{2c}} \]
Square both sides:
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