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

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13−1

3+1

13+1

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detailed solution

Correct option is A

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

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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

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