Question

For the given isosceles triangle $ABC$ such that $AB=AC$ and $AD$ bisects the line $BC$, such that $AC\ne DC$ then $\angle DAC=$

• A. $\angle DAB$
• B. $\angle ADC$
• C. $\angle C$

Answer 1

The correct option is A $\angle DAB$


For the isosceles triangle $ABC,AD$ bisects $BC$
$\Rightarrow \Delta ADB\cong \Delta ADC$
(By S - S - S congruency)
$\therefore$ The corresponding angles will be equal.
$\Rightarrow \angle DAC=\angle DAB$
Also, $AC\ne DC\Rightarrow \angle DAC\ne \angle C$