# User:Eznutella888

Hello fellow users of AOPS, my name is ! As you can see I like math. That's why I'm here.

I have taken many math competitions, including the Canadian Gauss, Pascal and Cayley. I have also taken Canadian Intermediate Mathematics Examination, and the Math Challengers competition sponsored by the Canadian Math Challengers Society. I also have taken AMC 8, and this year I'm taking the AMC 10, as well as the COMC (Canadian Open Mathematics Challenge).

We can set coordinates for the points. . The line 's equation is , 's equation is , and line 's equation is . Adding the equations of lines and , the coordinates of is . Furthermore the coordinates is . Using the Pythagorean Theorem, the length of is , and the length of = DB = \sqrt{6^2 + 3^2} = \sqrt{45} = 3\sqrt{5}BP= 3\sqrt{5} - \frac{9\sqrt{5}}{4} = frac{3\sqrt{5}}{4}. Then the ratio r, s,t5, 3,12r + s + t5 + 3 + 12 = \boxed{\textbf{(E) }20}$