Answer:
x = 25
AB = 42
BC = 42
AC = 84
Explanation:
Given:
AB = 2x - 8
BC = x + 17
B is the midpoint of AC.
To find:
x = ?
AB = ?
BC = ?
AC = ?
Solution:
Since the midpoint divides the lines equally in two parts.
So,
AB = BC
Substitute the value :
2x - 8 = x + 17
Add 8 on both sides:
2x - 8 + 8 = x + 17 + 8
Simplify:
2x = x + 25
Subtract x on both sides:
2x - x = x + 25 - x
Simplify:
x = 25
Therefore,
x = 25
Now
Substitute the value of x in above expressions, we get
AB = 2 × 25 - 8 = 50 - 8 = 42
BC = 25 + 17 = 42
AC = AB + BC = 42 + 42 = 84