The answer is yes.
this is a right isosceles triangle, so it is a 45-45-90 triangle. From the given information, we know the origin (0,0) is the vertex where the 90 degree angles is. one leg is on the x axis, the other one the y axis. Note: the triangle can be in any of the four quadrants. x and y can be both positive and negative.
the area of the triangle is 50, A=half of leg * leg, since the two legs are of equal length, each leg is √100=10
There are four possibilities for the other two vertices:
first quadrant: (10, 0) , (0, 10)
second quadrant: (-10, 0) and (0, 10)
third quadrant: (-10, 0) and (0, -10)
fourth quadrant: (10, 0) and (0, -10)
