If the angles of a triangle are 30° and 45° and the included side is (3+1) ems, then the area of the triangle, is

Using sine formula, we have3+1sin⁡105∘=bsin⁡30∘=csin⁡45∘⇒ 22=2b=2c⇒b=2,c=2∴ Area of ΔABC=12bc sin ⁡A⇒  Area of △ABC=12×22sin⁡105∘=3+12=13−1