MemberJune 22, 2023 at 3:30 pm::
If AB = 9cm, BC = 4cm, and YZ = 8cm, and we are given that AB:BC :: XY:YZ, we can use the concept of proportional sides to find the value of XY.
Using the concept of ratios, we have: AB:BC = XY:YZ
Substituting the given values: 9cm:4cm = XY:8cm
To find the value of XY, we can set up a proportion: 9cm/4cm = XY/8cm
Cross-multiplying: 9cm * 8cm = 4cm * XY
72cm² = 4cm * XY
Dividing both sides by 4cm: 18cm = XY
Therefore, the value of XY is 18cm.