Answer:
The coordinates of C(22/3, 7)
Step-by-step explanation:
Partitioning between two points A and B in the ratio a:b.
The x-coordinate of the point of partition C is found at
XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)
Similarly, the x-coordinate of the point of partition is found at
YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)
Given A(8,8), B(4,2), partition ratio of A:B = 1:5,
substitute in (1)
XC = 8*5/6+4*1/6 = 44/6 = 22/3
YC = 8*5/6 + 2*1/6 = 42/6 = 7
The coordinates of C(22/3, 7)
