Question

segment ab and segment cd are chords of circle p intersecting at x. if ax=7.5, bx=3.2, cd=11 and cx>dx find cx.

Answer 1

let y be the length of cx

so

cx + dx = cd

y + dx = 11

dx = 11 - y

Answer 2

now use the intersecting chords theorem to get

ax*bx = cx*dx

7.5*3.2 = y*(11-y)

solve for y