Answer: The correct option is 4th, i.e., [tex]\frac{7}{11}= \frac{10}{AC}[/tex].
Explanation:
It is given that ABC is similar to XYC. If BY = 4, YC = 7, XC = 10.
Draw a diagram by using the given information.
From the figure,
[tex]BC=BY+YC[/tex]
[tex]BC=4+7[/tex]
[tex]BC=11[/tex]
If the two triangles are similar then their corresponding sides are is in proportion and the corresponding angle are same.
[tex]\frac{YC}{BC}=\frac{XC}{AC}[/tex]
[tex]\frac{7}{11}=\frac{10}{AC}[/tex]
Therefore, the correct option is 4th.
