Question 1154645


1. if GM = 5, MJ = 3, and MF = 2, find MH.

GM *MJ = MF * MH  ( Property of intersecting chords)
MH = 7.5

2. if LJ = 6, JG = 8, and LI = 7, find IH.

LJ * LG = LI * LH  (Intersecting Secants Theorem)
6*14= 7*LH
LH =12 
HI = 5


3. if LJ = 3 and JG = 7, find LF. 
LJ*LG =LF^2 ( Tangent Secant theorem)

30= lF^2
LF = sqrt(30)