Answer:
Option: B is the correct answer.
The value of y is:
[tex]y=\sqrt{55}[/tex]
Step-by-step explanation:
We know that when a altitude is drawn from the vertex of a right angled triangle to the hypotenuse of the triangle then the length of the altitude is the geometric mean of the length of two segments of the hypotenuse.
Here by looking at the figure we have:
The altitude is denoted by y.
and the two segments of the hypotenuse have length 5 and 11.
Hence, we have:
[tex]y=\sqrt{5\times 11}\\\\i.e.\\\\y=\sqrt{55}[/tex]
