Question

AB=AC and A ARC
95
asosceles
In SABC the disector AD show that​

Answer 1

Given in ΔABC, the bisector AD of ∠A is perpendicular to side BC.

In ΔBAD and ΔCAD,

∠BAD=∠CAD ....Given

∠ADB=∠ADC=90

0

.........(AD is perpendicular to side BC)

AD=AD.............(Common side)

∴ΔBAD≅ΔCAD ........[ASA test]

∴AB=AC ...........[CSCT]

By converse of isosceles triangle theorem,

∴△ABC is isosceles. [henceproved]