Question

I cant solve this problem

Answer 1

y = 6.5

Explanation:

Basic proportionality theorem or Thales theorem:

If a line is drawn parallel to one side of the triangle and intersect the other two sides, then the line divides the other two sides in the same ratio.

`\sf (BL)/(LD)=(BK)/(KC)\\\\(13)/(y)=(10)/(5)\\\\Cross \ multiply,\\\\13*5 = y *10\\\\(13*5)/(10)=y\\\\(13)/(2)=y\\\\\boxed{\bf y = 6.5}`