Question

Ad is an altitude of a triangle abc and bisects bc. Show that ab=ac

Answer 1

to prove the congruency
angle bad=angle adc
​bd=bc
​ad=ad
therefore by sas criteria triange bad is congruent to triangle dac
​by cpct
ab=ac

Answer 2

Given
AD_|_BC & BD=CD
Now,
In tri(ADB) & tri(ADC)
AD =AD comon
BD=CD given
Therefore tri(ADB) congruence to tri(ADC)
Hence ,
AB=AC by cpct