Answer:
A. (a, 0)
D. (a/2,b/2)
Step-by-step explanation:
(a, 0) lies on one side of the triangle, because it is between (0,0) and (2a,0)
(0, b) doesn't lie on one side of the triangle, because only the only point with x-coordinate = 0 is (0,0)
(–a, b) doesn't lie on one side of the triangle, because only positive values are valid
Imagine the triangle with vertices (0,0), (a, 0) and (a,b). Let's call β the angle at vertex (0,0)
tan(β) = b/a
For triangle with vertices (0,0), (a/2, 0) and (a/2,b/2)
tan(β) = (b/2)/(a/2) = b/a
then, (a/2,b/2) lies on one side of the triangle
For triangle with vertices (0,0), (a/3, 0) and (a/3,b/4)
tan(β) = (b/4)/(a/3) = (3/4)*(b/a) ≠ b/a
then, (a/3,b/4) doesn't lie on one side of the triangle
