Answer:
AC = 52
Step-by-step explanation:
the diagonals of a square are congruent and bisect each other, hence
AC = BD
2(3x - 4) = 10x - 48
6x - 8 = 10x - 48 ( subtract 10x from both sides )
- 4x - 8 = - 48 ( add 8 to both sides )
- 4x = - 40 ( divide both sides by - 4 )
x = 10
⇒ AC = 2(3 × 10 - 4) = 2 × 26 = 52
