Answer:
LG=8, BG=14
Step-by-step explanation:
The theorem referred to here is: If a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally.
So: using that fact, we can set up a proportion:
12/21 = 2x+2/5x-1
Cross multiply that proportion:
21(2x+2)=12(5x-1)
42x+42=60x-12
54=18x
3=x
Substitute 3 in for x.
LB= 2(3)+2
LB=8
BG= 5(3)-1
BG=14
