How to know when ambiguous case is no triangle

👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and no solution.

Using the law of sines, we can obtain the value of the angle opposite the second given side length.
Case 1: If the product of the sine of the given angle and the given side adjacent to the given angle is greater than the given side opposite the given angle, then there is no possible solution satisfying the given values.
Case 2: If the obtained angle is greater than the given angle, then there are 2 possible solutions satisfying the given values.
Case 3: If the obtained angle is less than the given angle, then there is only 1 possible solution satisfying the given values.

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Organized Videos:
✅ Law of Sines
youtube.com/playlist?list=PL0G-Nd0V5ZMoSv8cypcR…
✅ Determine 1, 2 or No Triangle
youtube.com/playlist?list=PL0G-Nd0V5ZMpHLqyVTeo…
✅ Law of Sines | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMoKvxj3KTY…
✅ Law of Sines | ASA
youtube.com/playlist?list=PL0G-Nd0V5ZMp0Wkn3bvl…
✅ Law of Sines | AAS
youtube.com/playlist?list=PL0G-Nd0V5ZMoMYbsUKx8…
✅ Law of Sines Ambiguous Case 2 Triangles
youtube.com/playlist?list=PL0G-Nd0V5ZMo8MMldMYz…
✅ Law of Sines Ambiguous Case 1 Triangle
youtube.com/playlist?list=PL0G-Nd0V5ZMoewwFmBZI…
✅ Law of Sines Ambiguous Case No Triangle
youtube.com/playlist?list=PL0G-Nd0V5ZMqAWofxWk7…
✅ Ambiguous Case Law of Sines | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMq98rh3vv1…
✅ Find the Area of an Oblique Triangle SAS
youtube.com/playlist?list=PL0G-Nd0V5ZMopITRA5z0…

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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/

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