In a triangle ABC AD is the bisector of angle BAC. Show that AB>BD and AC>CD

from the figure,LBDA=900,BECAUSE,ADis the bisector.

consider triangle ABD,it's right angled  so,BD is the base and AB is the hypotnuse,

we know that,hypt is always greater than base ,so AB>BD and similarly,CD is base and AC is hypt,

so AC>CD. 

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