A geometry problem by Paola Ramírez

Geometry Level 3

Let \(\Delta ABC\) be an isosceles triangle with \(AC=CB\), \(AB=7\) and height \(CD = 9\). Denote \(a,b,c,d,e,f,g,h\) and \(i\) to be parallel segments \(AB\) and divide \(CD\) into 9 equal segments.

Compute \(a+b+c+d+e+f+g+h+i\).

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