[10pt]geometry

2008-08-28 8:25 am

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prove that
AB+AC>DB+DC

use knowledge at f2 level

回答 (1)

2008-08-28 6:30 pm
✔ 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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