law of sines (ambiguous case)

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Last updated 12:40 PM on 1/8/26
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6 Terms

1
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obtuse; side opposite the given angle SMALLER than other given side

a < b = NO triangles possible

2
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obtuse; side opposite the given angle LARGER than other given side

a > b = ONE triangle possible

3
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acute; side opposite the given angle SMALLER than HEIGHT

a < h = NO triangles possible

4
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acute; side opposite the given angle EQUAL to HEIGHT

a = h = ONE triangle possible

5
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acute; side opposite the given angle LARGER than HEIGHT BUT still SMALLER than other given side

a > h & a < b = TWO possible triangles

6
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acute; side opposite the given angle EQUAL TO OR LARGER than other given side

a > h & a > b = ONE triangle possible

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