Question

If BY = 6, YC = 10, AX = 18, then XC =
a: 10.8
b:5
c:30
d:48

Answer 1

Answer: Option 'C' is correct.

Explanation:

Since we have given that

BY = 6, YC = 10, AX = 18,

Since we can use the Basic proportionality theorem which states that if a line is drawn i.e. XY parallel to one side of a triangle intersecting other 2 sides i.e. AC and BC, then it divides the two sides in the same ratio.

So,

`(CX)/(AX)=(CY)/(BY)\\\\(CX)/(18)=(10)/(6)\\\\CX=(18* 10)/(6)\\\\CX=3* 10\\\\CX=30`

The value of CX= 30

Hence, Option 'C' is correct.

Answer 2

To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

BY/YC = AX/XC

Substituting the known values,

6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C.