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in Trigonometry by (53.1k points)

If A = 30°, a = 100, c = 100√2, find the number of triangles that can be formed.

1 Answer

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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.

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