Question

In $\Delta ABC$ , right angled at $B$, $AB=5$ cm and $\sin C=\frac{1}{2}$. Determine length of side $AC$.

• A. $10cm$
• B. $30cm$
• C. $20cm$
• D. $90cm$

Answer 1

The correct option is A $10cm$

In $\Delta ABC$ ,

$\angle B={90}^{\circ }$

$AB=5cm$

$\sin C=\frac{1}{2}$

$AC=?$

Now,

$\sin C=\frac{AB}{AC}$

$\frac{1}{2}=\frac{5}{AC}$

$AC=5\times 2=10cm$