Question

in triangle abc is bisect ad of angle a is perpendicular to side bc show that ab=ac and a bc is a isoceles​

Answer 1

hope this will help you✌✌

Answer 2

Answer:

Given: AD is a perpendicular bisector of BC

To Prove: <ABC is an isosceles triangle AB = BC

∴ AD is the perpendicular of BC

= <ADB = <ADC = 90

= BD = CD (AD is the bisector of BC)

=> Consider, ΔABD and ΔACD

= AD = AD (Common Side)

= <ADB = <ADC (AD is the perpendicular to BC)

= BD = CD (AD is the bisector of BC)

∴ By SAS Congruence rule,

= ΔABD ≅ ΔACD

= <B = <C (CPCT)

= AB = AC

= ΔABC is an isosceles triangle