Problema Solution
Given T to be the midpoint of Line AB with AT = 3/4x + 6 and TB = 1/2x + 9. Fin AB
Answer provided by our tutors
Since T is the midpoint, AT=TB and AB=2AT=2AB=AT+AB. Therefore, we can set the equations equal to each other.
3/4x+6=1/2x+9
using Algebrator to solve for 'x', we get:
x=12
Now we can find either AT or TB:
AT=3/4x+6
AT=(3/4)12+6
AT=8+6
AT=14
Now we can find AB:
AB=2AT=2(14)=28