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Did you have a question?
do you mean/need \frac{S_{A'B'C'}}{S_A_B_C}=in text?
I think it is a school assignment.
Here you are, young man:
Hi Adasgor,
The ratio S/S' of the two triangles in your question 1 respect the strange following relation :
S/S' = 3 n (n1)+1 where n is the value of the homothetic ratio.
Thus :
Homothetic value  1  2  3  4  5  6  7  8  9
Ratio  1  7  19  37  61  91  127  169  217
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