✔ 最佳答案
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Consider ∆ADC:
AD + AC > DC
Add DB to both sides of the inequality:
DB + AD + AC > DB + DC
(DB + AD) + AC > DB + DC
But DB + AD = AB
Hence, AB + AC > DB + DC
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