Question

ABC is a triangle. X and Y are points on AC and BC, respectively such that XY//AB. if AX=4XC, find: (a) CY:BY (b) CY:CB (c) XY:AB.

Answer 1

Answer:

AX = 4XC

Step-by-step explanation:

(a) CY : BY

=> XC : AX = 1:4

=> XC : AX = CY : CB

=> CY : CB= 1:4

(b) CY : CB

=> CB = CY + BY

=> CB = CY + 4CY

=> CB = 5CY

=> CY : CB = 1:5

(c)XY : AB

Same as (b)

=> XY : AB = 1 : 5