To solve this system of equations, we can use substitution or elimination method. Let's use substitution method:
From the first two equations:AB + BC = 9cmAC + BC = 13cm
Solve the first equation for AB:
AB = 9 - BC
Now substitute this expression for AB into the third equation:
(9 - BC) + AC + BC = 14cm9 + AC = 14cmAC = 5cm
Now substitute AC = 5cm into the second equation to solve for BC:
5 + BC = 13cmBC = 8cm
Finally, substitute AC = 5cm and BC = 8cm into the first equation to solve for AB:
AB + 8 = 9cmAB = 1cm
Therefore, AB = 1cm, AC = 5cm, and BC = 8cm.
To solve this system of equations, we can use substitution or elimination method. Let's use substitution method:
From the first two equations:
AB + BC = 9cm
AC + BC = 13cm
Solve the first equation for AB:
AB = 9 - BC
Now substitute this expression for AB into the third equation:
(9 - BC) + AC + BC = 14cm
9 + AC = 14cm
AC = 5cm
Now substitute AC = 5cm into the second equation to solve for BC:
5 + BC = 13cm
BC = 8cm
Finally, substitute AC = 5cm and BC = 8cm into the first equation to solve for AB:
AB + 8 = 9cm
AB = 1cm
Therefore, AB = 1cm, AC = 5cm, and BC = 8cm.