Two corners of an isosceles triangle are at #(6 ,4 )# and #(4 ,1 )#. If the triangle's area is #8 #, what are the lengths of the triangle's sides?
1 Answer
the lengths are
Also
Explanation:
First we let
Also Let corners
We set the equation using sides by distance formula
simplify to obtain
Use now the matrix formula for Area:
We now have the equation
Solving simultaneously the system
We can now solve for the lengths of sides