Question

Find the length of DA.

Answer 1

This is a power of a point problem.

So we have DA*DB = DY*DZ

or 3x*(3x+8) = x*(32+x)

9x^2 + 24x = 32x + x^2

8x^2 -8x = 0

(we can eliminate 0 as an option)

8x - 8 = 0

8x = 8

x = 1

DA = 3*1

DA = 3