/sci/ - Science & Math

[math]
\text{Given a point }(a,b)\text{ with }0<b<a\text{, determine the minimum perimeter of a}
\\
\text{triangle with one vertex at }(a,b)\text{, one on the }x\text{-axis, and one on the line }y=x\text{.}
\\
\text{You may assume that a triangle of minimum perimeter exists.}
[/math]