Minimum Perimeter of a triangle
Reflect the point $A$ in each of the two lines to get points $A_1,A_2$. Let the line $A_1A_2$ meet the two lines at $B,C$. The required triangle is $ABC$.
Reflect the point $A$ in each of the two lines to get points $A_1,A_2$. Let the line $A_1A_2$ meet the two lines at $B,C$. The required triangle is $ABC$.