# 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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