I need to find x & y. plz answer i really need this. only if correct :)

x=12, y= 20

Step-by-step explanation:

We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)

AC^2 + CD^2 = AD^2

x^2 + 5^2 = 13^2

x^2 = 25 = 169

x^2 = 144

x = 12

We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12

AC^2 + CB ^2 = AB^2

12^2 + 16^2 = y^2

144 + 256 = y^2

y^2 = 400

y= 20

I hope this helps! :)