If two sides of a triangle are unequal, the bisector of the vertical angle divides the base into two parts, the greater being towards the greater side. Prove it

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Please find below the solution to the asked query :




ABC is a triangle with AB > AC.AD is the angle bisector of BAC.By angle Bisector theorem,ABAC=BDCDAs AB > AC BD > CD.Hence Proved.
 
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Pls answer
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This is the converse. Can someone now prove it?

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google
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