geometry
posted by Anonymous .
an isosceles triangle on the coordinate plane has side lengths of 8,5,and 5 units. The long side is along the xacis, find the coordinates of each vertex.

place the long side on the xaxis so that it runs from
(0,0) to (8,0)
then the altitude cuts the base in half and hits it at (4,0)
looks like we have 2 rightangled triangles with base of 4 and hypotenuse of 5,
by Pythagoras that height has to be 3
(s^2 + 4^2 = 5^2)
so the third vertex must be (4,3)