Question

The steps to prove the Law of Sines with reference to ∆ABC are given. Arrange the steps in the correct order.

Answer 1

1). Draw a perpendicular from point A to side BC. Let AD = h

2). sin A = h/c and sin C = h/a

3). h = c Sin A, h = a sin C

4). c Sin A =a sin C

5). Divide both side by Sin A * Sin C

6). c Sin A/(Sin A * Sin C) =a sin C/(Sin A * Sin C)

7). c/sin C = a/Sin A

8). Similarly prove that, c/sin C = b/Sin B

9). c/sin C = b/Sin B = a/Sin A

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