Question

In $△ABC$ right angled at $B,AB=5cm$ and $\angle ACB={30}^o$ then the length of the sides $BC$ is

• A. $5\sqrt{3}$
• B. $2\sqrt{3}$
• C. $10cm$
• D. $noneofthese$

Answer 1

Answer: (A)

$5\sqrt{3}$

Given:- $ABC$ is a right angled triangle in which $AB=5cm$ and

$\angle ACB=30°$

Using trigonometric ratio,

$\tan C=\frac{AB}{BC}$

$\Rightarrow \tan 30°=\frac{5}{BC}$

$\Rightarrow BC=5\sqrt{3}cm$