Question

Given: ABC is similar to XYC. If BY = 6, YC = 10, AX = 18, then XC = 10.8 5 30 48

I NEED HELP PLEASEE :)

Answer 1

The answer is C

Explanation:

Answer 2

The correct option is 3. The length of XC is 30.

Explanation:

It is given that triangle ABC and triangle XYC are similar.

According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.

In triangle ABC and triangle XYC,

`(AB)/(XY)=(BC)/(YC)=(AC)/(XC)`

Let the length of XC be x.

From the below figure it is notices that

`AC=AX+XC=18+x`

`BC=BY+YC=6+10=16`

`(16)/(10)=(18+x)/(x)`

`16x=180+10x`

`6x=180`

`x=30`

Therefore correct option is 3. The length of XC is 30.