A math Question

Question

An isosceles triangle has vertices at (-6, -4), (2, 2), and (-4, -6). Find its area.

Answer 1

2a=8^.5=2.828......

a=1.414.......

b=1.414......*7=9.898........

area=ab=1.414......*9.898....=13.995.......

Answer 2

Graph this first!

The length of the base is easily seen to 2√2.

The midpoint of the base is (-5,-5).

The altitude is the length from (2,2) to (-5,-5) = 7√2

Now you have what you need to compute the area.