ASS triangles ,the law of sines and the ambiguous case.

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ASS triangles ,the law of sines and the ambiguous case. 13.5-13.6 The Am big you ASS Case ASS triangles ,the law of sines and the ambiguous case.

Use this triangle A b a c B C

What do you notice? Find sin⁡(10°)_____ Find sin⁡(170°)______

Concept #1 ASS is not a congruence theorem There is a problem with ASS. The triangle created can have three possible answers. One , Two or Zero triangles are possible. This is the ambigious triangle situation. Use law of sines always. We will also use sine inverse for all ambiguous situations. An error answer is no possible triangle. Sine inverse and (180-the angle) will tell you one or two triangles.

Problem #5 ASS ambiguous c. 𝑎=16 ∠𝐴= 103 ∘ 𝑏=12