Changes

2 = <math>\frac{b + c} {a}</math><br>

2 = <math>\frac{b + c} {a}</math><br>

Multiply both side by 'ab' we get,<br>

Multiply both side by 'ab' we get,<br>

2ab = <math>\frac{ab(b + c)} {a}<br>

2ab = <math>\frac{ab(b + c)} {a}</math><br>

Cancel 'a' in Right hand side we get<br>

Cancel 'a' in Right hand side we get<br>

2ab = b^2 + bc ---------->1

2ab = b^2 + bc ---------->1

Also 'b' is the geometric mean between 'a' and 'c'<br>

Also 'b' is the geometric mean between 'a' and 'c'<br>

That is b = <math>\sqrt{ac}</math><br>

That is b = <math>\sqrt{ac}</math><br>