Answer:
AD = 1/4AC
Step-by-step explanation:
Given that,
D is the the midpoint of AB
Therefore
AB = AD + DB
Since, D is the midpoint of the AB, therefore AD = DB
AB = AD + AD
AB = 2AD (i)
Similarly, B is the midpoint of AC
Hence,
AC = AB + BC
AC = AB + AB (because B is the midpoint)
AC = 2AB (ii)
By putting the value of AB from equation i to equation ii, we get
AC = 2(2AD)
AC = 4AD
AC/4 = AD
AD = 1/4AC
