# Trianglometry

Geometry Level 4

Triangle ABC has coordinates A, B and C equal to $$(5,3), (19,7)$$ and $$(17,25)$$ respectively. By how much does the largest slope for any median of the triangle exceed the largest slope for any altitude of the triangle?

If the answer is in the form $$\frac ab$$ for coprime positive integers $$a$$ and $$b$$, find the value of $$a-b$$.

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