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Junior high school mathematics geometric angle bisector
Because AD is the angular bisector.

So AB: BD = AC: DC = AB+AC: BD+DC = AB+AC: BC >1

So AB & gtBD, AC> DC

Modify the proportional formula

AB:AC=BD:DC

Subtract one from each side of the equation to get

(AB-AC):AC=(BD-DC):DC

(AB-AC):(BD-DC)=DC:AC

Because DC

So (ab-AC): (BD-DC) = DC: AC

So ab-AC

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