Here a, c and A are given. Therefore we will have to examine whether two triangles are possible or not. For two triangles
a > c sin A ....(1)
a < c
Now 1000 > 100√2 sin 30°
⇒ 100 > 50√ 2 and a < c
That is, 100 < 100√2 . So two triangles can be formed.