AM is a median of a triangle ABC. Is AB + BC + CA > 2AM?
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Yes it is greater than 2AM.You can just imagine or use visualisation. Then it is gonna be super easy
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I dont get why you gave that figure but yes this statement is true
In triangle ABM,
AB+BM>AM. ①
In triangle ACM,
AC+CM>Am. ②
Add ① and ②
=> AB + (BM+CM) + AC > 2AM
=> AB+BC+CA > 2AM
In triangle ABM,
AB+BM>AM. ①
In triangle ACM,
AC+CM>Am. ②
Add ① and ②
=> AB + (BM+CM) + AC > 2AM
=> AB+BC+CA > 2AM
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