Mathematical Methods · sine rule · manipulative

The ambiguous case (SSA)

Given ∠A and sides a, b — swing an arc of radius a from C. It can meet the other arm of ∠A twice, once, or not at all.

∠A side a (arc) side b = AC height h

No axes — just the triangle construction. Arc centred at C; B is where it meets the other arm of ∠A.

Given (SSA)

40°
3.5
5.0

a opposite A · b = AC adjacent to A

How many triangles?

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