Question

在△ABC中,若B=30°,AB=,AC=2,则△ABC的面积是_____________________.

Answer 1

解析:由正弦定理得=,∴sinC==.

又∵AB＞AC,∴C=60°或120°.

当C=60°时,S_△ABC=AC·AB·sinA=×2×sin90°=;

当C=120°时,S_△ABC=AC·AB·sinA=×2×sin30°=.

答案:或