Question

chord ab intersects chord hi at point c.the length of cb is 4 times the length of ac.find the length of ac

Answer 1

Chord AB = ?
Chord AB = AC + CB

Chord HI = HC + CI
HC = 7
CI = 28
Chord HI = 7 + 28 = 35

Chord AB = Chord HI

CB is 4 times the Length of AC. Let AC be X.

x + 4x = 35
5x = 35
x = 35/5
x = 7

AC = x = 7
CB = 4x = 4(7) = 28