Question

In $\Delta ABC,m\angle B=90,AB=BC.$ Then $AB:AC=$

• A. $1:3$
• B. $1:2$
• C. $1:\sqrt{2}$
• D. $\sqrt{2}:1$

Answer 1

The correct option is C $1:\sqrt{2}$

$AB=BC$

$\Rightarrow \angle BAC=\angle BCA={45}^0$

$\sin {45}^0=\frac{AB}{AC}$

$\Rightarrow \frac{AB}{AC}=\frac{1}{\sqrt{2}}$