What are the values of x and y?

a) x= 136/15, y= 17/15
b) x= 64/15, y= 17/15
c) x= 8/15, y= 136/15
d) x= 64/15, y= 136/15

In the given figure, we have two right angled triangles:
1) Triangle ABC
2) Triangle CDB

Using pythagorean theorem, we can write equations for both triangles.

For triangle ABC:



For triangle CDB:



Using the value of y² in the first equation, we get:





Thus the d option gives the correct values of x and y