Answer:
AC = 20.5
BC = 14.5
Step-by-step explanation:
The distance from C to A is 6 cm longer than the distance from C to B. gives us the following equation
AC = BC +6
We know the distance of the two segments gives us the total segment
AB = AC + BC
The total segment is AB =35
Substituting into AB= 35 and AC = BC+6
AB = AC + BC
35 = (BC+6) + BC
Combing like terms
35 = 2 BC +6
Subtract 6 from each side
29 = 2 BC
Divide by 2
14.5 = BC
Now find AC
AC = BC+6
AC = 14.5+6 = 20.5
