This problem is about triangle vertices. a. There are exactly ten points C which will create an isosceles triangle ABC with A=(0,0), B=(3,2), and area 6. Further, every single one of these points is a rational point, meaning that both of its coordinates are rational numbers. Find all ten points exactly. You are welcome to use WolframAlpha to solve systems of equations (you don't have to do it by hand), but you must explain where the systems that you're solving come from (preferably by showing me graphs). b. Find all triangles DEF for which D=(1,4), E=(2,2) and the area of triangle DEF is 4. Prove that you have found them all