Seg Ad perpendicular to bc and prove AB^2 + AC^2 =2AM^2 + 2BM^2
(take ^2 as square)
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Step-by-step explanation:
Pythagoras in obtuse angle M
AB^2= AM^2 + BM^2 +2BM×MD.--------(1)
Pythagoras in acute angle M
AC^2= AM^2 + MC^2-2MC×MD.-–------(2)
Adding 1 and 2
AB^2 + AC^2 = 2AM^2 + 2BM^2 {Because BM = MC as AM is median.
This above result us known as apollonius thereom.
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