ABC has a right angle at A. Among all points P on the perimeter of the triangle, find the position of P such that AP+BP+CP is minimized.
Follow Math Help Forum on Facebook and Google+
It's the midpoint of BC.
Originally Posted by Jeqle It's the midpoint of BC. Not true, it clearly lies in one of two places, the foot of the altitude from A or at A. The final argument is more subtle
Originally Posted by SimonM Not true, it clearly lies in one of two places, the foot of the altitude from A or at A. The final argument is more subtle Tha answer is P=A. Check the MathLinks solution.
View Tag Cloud