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8. In Fig. 13.31, AB-AC and AD is the bisectorof BAC. Prove that ABD AACDAlso, prove that ZB ZC and BD DC.

Answer»

in this we can use the theorem of SAS so ,here in ∆ABD and ∆ACD AD is bisector os angle A and ∆ABC is isosceles triangle .AB=AC ':(given in data)angle BAD =angleDAC (given in data )AD=AD(given on data) so by using SAS theorem we can say that ∆BAD~=∆CAD.

so by using CTCP theorem we can prove that angle B=angle C andBD=DC



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