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Step-by-step explanation:
A)
AB^2 = AM^2 +. BM^2 -2AD × MD......... ( i.)
B)
AC^2 = AM^2 + MC^2 + 2AD × MC........... (ii)
C)
Adding eq (i) & (i)
AB^2 + AC^2 = AM^2 +AM^2 +MC^2 + BM^2 + 2AD -
2AD ×MC × MD
AB^2 +. AC^2 = 2AM^2 +. 2BM^2
............. (Proved)
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