SOLUTION: how do you prove that the in-centre of a triangle, whose base length = b and sum of the length of the other two sides = c, is an ellipse?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: how do you prove that the in-centre of a triangle, whose base length = b and sum of the length of the other two sides = c, is an ellipse?      Log On


   

Question 201722: how do you prove that the in-centre of a triangle, whose base length = b
and sum of the length of the other two sides = c, is an ellipse?
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
watch the animation here using a piece of string between 2 points. http://www.mathopenref.com/constellipse1.html
the effective base length (b) of the triangle would be the straight line distance between the 2 end points of the sting and the sum of the 2 remaining sides (c) is equal to the total length of the sting, as the stirng does not change length.
Hope that helped
Adam