Problem 7 (Equal Perimeter Problem)

Consider the circle drawn as below with a point C outside the circle.

Now draw from C the two tangent lines to the circle, touching the circle at P₁ and P₂ . Now draw a line AB connecting the tangent lines which is itself tangent to the circle. Show that the perimeter (distance around) of the resulting triangle CAB is the same no matter how the line AB connecting the tangent lines is drawn.

[Previous]	Problem 6 (Arithmetic Circles)
[Next]	Problem 8 (The Plane Problem)
[Up]	February Problems
[Home]	Home Page
[Mail]	Send EMail to Maine Math Talent Search
[Contents]	Maine Math Talent Search Contents

Last modified on Monday, February 08, 1999