Answer:
P(a,b)
Q(3a,b)
PC = √(3a - b) units.
By midpoint formula:
Which is M(1/2(x1 + x2),1/2(y1 + y2))
hence P(1/2(2a + 0),(2b + 0)
P (a,b) Note: P divides A(2a,2b) and B(0,0).
And Q (1/2(2a + 4a),(2b + 0))
Q(3a,b). Note: Q divides A(2a,2b) and C(4a,0).
By the distance formula
Which is PC = √((x2 - x1) + ( y2 - y1))
Hence PC = √((4a - a) + (0 - b))
PC = √(3a - b) units.
