A triangle has corners at #(2 , 4 )#, ( 3, 1 )#, and #( 8, 3 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
One end-pt. of all perp. bsctrs. is
Length of one perp.bsctr.
Let us name the vertices of
Clearly, the mid-pts. are
We know that three perp. bsctrs. of sides of a
On the same line, we can work out the Eqn. of
Solving (1) & (2), we get