Question

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Prove that the bisector of the vertical angle of an isosceles triangle bisects the base at right angle..

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pls answer...​

Answer 1

it's simple

clearly angleBAD=angle DAC

AD=AD(common)

AB=AC

so triangleABD=Triangle ADC

so angle ADB=anglleADC

angle(ADB+ADC)=180

2angle ADB=180

angle ADB=90

also both triangle are congruent

so BD=DC

hence AD is pependicular bisector

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