Right Angle's Vertex Is On The Line!
Algebra
Level
5
Suppose we have two points \(A(5, 5)\) and \(B(3, 2)\). Point C is placed on the line \(y = 3x+4\) such that \(\triangle ABC\) is a right triangle.
If \(C\) has coordinates \((x, y)\) and the sum of all possible values of \((x, y)\) is \(P\), then find \(11P\).
by
Trevor Arashiro