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ProvethatMABCisisoscelesifanyoneofthefollowing holdsProvethatG) Bisector of 2BAC is perpendicular to BC(ii) AltitudeAD bisects LBAC(iii) Altitude BE-Altitude CF. |
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Answer» Given: triangle ABCRequired to prove: ABC is isosceles, i.e. AB=ACProof: Using number 2) Median AD perpendicular to BC In triangle ADB and triangle ADCAD=AD ( given )Angle ADB=Angle ADC ( as AD is perpendicular to BC )BD=DC ( as D divides BC into two equal halves )Therefore, Triangle ADB congruent to Triangle ADC=> AB=AC ( CPCT ) Therefore Triangle ABC is isosceles. Hence proved. |
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