Two corners of an isosceles triangle are at #(8 ,5 )# and #(6 ,7 )#. If the triangle's area is #15 #, what are the lengths of the triangle's sides?
1 Answer
Sides:
Explanation:
Side
has a length of
Not that
#color(red)(a)# can not be one of the equal length sides of the equilateral triangle since the maximum area such a triangle could have would be#(color(red)(2sqrt(2)))^2/2# which is less than#15#
Using
Using the Pythagorean Theorem:
and since the triangle is isosceles