SOLUTION: Two vertices of a triangle are located at (3,0) and (7,0)on a coordinate plane. What are the possible positions for the third vertex if the perimeter of the triangle is 12 units?

Algebra ->  Triangles -> SOLUTION: Two vertices of a triangle are located at (3,0) and (7,0)on a coordinate plane. What are the possible positions for the third vertex if the perimeter of the triangle is 12 units?      Log On


   

Question 399291: Two vertices of a triangle are located at (3,0) and (7,0)on a coordinate plane. What are the possible positions for the third vertex if the perimeter of the triangle is 12 units?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The desired points (x,y) are on the following ellipse:
%28x-5%29%5E2%2F16++%2B+y%5E2%2F12+=+1
12 - 4 = 2a ==> 2a = 8 ==> a = 4 ==> a%5E2++=16
==> b%5E2+=+4%5E2+-+2%5E2+=+16+-+4++=+12