Question

In $△ABC$, right angled at C, AC=4cm and $\angle BAC={60}^{\circ }$, find the length of side BC

• A. $5\sqrt{3}$ cm
• B. 3 cm
• C. $4\sqrt{3}$ cm
• D. $\sqrt{3}$ cm

Answer 1

The correct option is C

$4\sqrt{3}$ cm

Since $\angle BAC={60}^{\circ }$
$\Rightarrow tan{60}^{\circ }=\frac{BC}{AC}=\sqrt{3}$
$\Rightarrow \frac{BC}{4}=\sqrt{3}$
$\Rightarrow BC=4\sqrt{3}$ cm