In the figure PX & PY are perpendicular to the two rays of the angle.
It is claimed that has least perimeter.
We know that PX’ is longer that PX for any X’ on that ray other that X.
Can you finish?
This is my question and I'm not even sure how to start it...feels like there are so many possibilities...
Given an angle defined by rays r1 and r2 (you may assume it is an acute angle) and a point P interior to this angle find points X on r1 and Y on r1 such that the triangle PXY has the smallest perimeter. Provide proof that the points are indeed optimal.
Not very clear.
and a point P interior to this angle find points X on r1 and Y on r1 such that the triangle PXY has the smallest perimeter
Meaning, P is the intersection, or the origin, of rays r1 and r2?
I thought P is supposed to be inside the angle formed by r1 and r2.