AD is the median of a ΔABC, prove that AB + BC + CA > 2AD
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PLEASE MARK IT AS THE BRAINLIEST ANSWER
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Answered by
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you have to use the theorum : sum of two sides is greater than the third
Step-by-step explanation:
in Δ ACD: AC + CD > AD = AC + 1/2 BC > AD ----------- Eq 1
then in ΔADB : AB + BD > AD = AB + 1/2 BC > AD ----------------- Eq 2
now Eq1 + Eq2 :
( AC + 1/2 BC > AD ) + ( AB + 1/2 BC > AD )
= AB + AC + ( 2 X 1/2 BC ) > 2 X AD
= AB + AC + BC > 2AD
hence proved ....
pls mark brainliest pls
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