If two sides of a triangle are unequal, the bisector of the vertical angle divides the base into two parts, - Maths - Triangles

Question

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

Rishabh Mittal · Accepted Answer

Dear Student ,

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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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