Given : BD is a median
AD = 7x + 5
DC = 9x - 5
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AD + DC= AC
Since BD is a median, D is a middle point
AD = DC
7x +5 = 9x -5
9x -7x = 5 +5
(9-7) x= 10
x= 10/2
x= 5
______________
AD = 7x +5
= 7*5 + 5
= 40
____________
DC = 9x -5
= 45- 5
= 40
_____________
AD + DC= AC
AC= 40 + 40
AC = 80
__________________________
Answer
x= 5
AD= 40
DC= 40
AC= 80
