Math, asked by Ranadhir3678, 1 year ago

Abc is a triangle in which ad is the bisector of angle a if ad is perpendicular to bc show that abc is isosceles

Answers

Answered by Anonymous
9

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Answered by KrisGalaxy
8

in \: ∆abd \: and \: ∆acd.. \\  < bad \:  =   \: < cad \:  \:  \:  \:  \:  \:  \:  (given)

ad \:  = ad \:  \:  \:  \:  \: (common)

 < adb =  \:  < adc \:  =  {90}^{o}  \:  \: (given)

So , ∆ABD ≈ ∆ACD. (ASA rule)

So,. AB = AC. (CPCT)

or, ∆ABC is an Isoceles Triangle

Hence Proved

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