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]
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