Answer:
- 2 < x < 16
- 3 < x < 19
- 14 < x < 18
- 4 < x < 16
- 13 < x < 47
- 0 < x < 10
- 1 < x < 7
Step-by-step explanation:
The minimum third side is the difference of the given sides; the maximum third side is their sum.
If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.
Using theorem about secant segments we can write,
AB*AH=AG*AC
AC=4,
CG=6
AG=AC+CG=4+6=10
AH=3
AB= AH+HB=AH+x=3+x
(3+x)*3=10*4
9+3x=40
3x=40-9
3x=31
x=31/3≈10.3
HB≈10.3
EG=HB/2 (as radius and diameter)
EG=10.3/2≈5.2
Answer:
Step-by-step explanation: