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D is a point on side BC of triangle ABC such that ad bisects angle BAC write down the relation between BA and BD​

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K.smaran Sai asked in Math

If D is a point on the side BC of triangle ABC such that AD bisects angle BAC, then prove that AB greater than BD

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Lovina Kansal answered this

in Math, Class

Dear student

In △ABC, AD is the bisector of ∠A∴∠1=∠2    ...(1)Since exterior angle of a triangle is greater than each of interior opposite angle.Therefore, In △ADC, we haveExt.∠ADC>∠2∠3>∠2   ∠3>∠1    [Using 1]Thus, in △ABD, we have∠3>∠1AB>BD   [Side opp. to greater angle is greater]