Question

In a triangle ABC , sidde c=2,

• A. 30°
• B. 15°
• C. 45°
• D. None of these

Answer 1

Answer:

A. 30°

In a triangle ABC,

c=2, A=45°, a=2√2

Using sine rule in given triangle,

$\frac{a}{sinA}=\frac{c}{sinC}$

$\frac{2\sqrt2}{sin45}=\frac{2}{sinC}$

$sinC=\frac{sin45}{\sqrt2}=\frac{1}{\sqrt2\sqrt2}$

$sinC=\frac{1}{2}$

$C=30°$