An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(2 ,5 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?
1 Answer
Possible coordinates are
Explanation:
We use the formula for the area A
We have to consider two points on each side of side
For the first point
This is an isosceles triangle so that the third vertex
Perpendicular bisector equation is passing through the midpoint of side
Also this is
Solving Vertex
Simultaneous solution results to
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For the second point
This is an isosceles triangle so that the other third vertex
Perpendicular bisector equation is passing through the midpoint of side
Also this is
Solving the other Vertex
Simultaneous solution results to
God bless....I hope the explanation is useful.