Two corners of an isosceles triangle are at #(9 ,6 )# and #(3 ,2 )#. If the triangle's area is #48 #, what are the lengths of the triangle's sides?
1 Answer
Aug 20, 2016
Explanation:
Let the distance between the given points be s.
then
hence s = 2
The perpendicular bisector of s, cuts s
Let the altitude of the triangle given be h units.
Area of triangle =
hence
so h =
Let t be the lengths of the equal sides of the given triangle.
Then by Pythagoras' theorem,
=
=
hence t =