螞蟻爬長方體盒子的捷徑



如果a、b、c都是正數且a > b、a > c,則 a2+(b+c)2 < b2+(a+c)2且 a2+(b+c)2 < c2+(a+b)2

[說明]:
 
a2+(b+c)2 = a2+b2+c2+2bc < a2+b2+c2+2ac = b2+(a+c)2

a2+(b+c)2 = a2+b2+c2+2bc < a2+b2+c2+2ab = c2+(a+b)2


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