Question

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

• A. 5√3cm
• B. 3 cm
• C. 4√3cm
• D. √3
  
  

Answer 1

The correct option is C

4√3cm

Given: A right angle triangle ABC, right angled at C.
Also, AC = 4 cm and $\angle BAC={60}^o$

Consider the figure given below:

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