Answer:
The value of XY is 20.
Step-by-step explanation:
Given:
XZ = 16
YZ = 12
Since the triangle is not shown:
Assuming it is a right angled triangle with right angle at ∠Z.
We have drawn the triangle for your reference.
Now by Using Pythagoras theorem we get;
[tex]XZ^2+YZ^2=XY^2[/tex]
Substituting the values we get;
[tex]XY^2 = 16^2+12^2 = 256+144 =400[/tex]
Now taking square root on both side we get;
[tex]\sqrt{XY}=\sqrt{400}\\\\XY =20[/tex]
Hence The value of XY is 20.
