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February 6th, 2013, 12:01 AM   #11
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Also, SSA is unambiguous if the side opposite the given angle is longer than the side adjacent to it (use the sine rule).
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February 6th, 2013, 05:18 PM   #12
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Re: find the angles and sides of the triangle

But the SSA is not unique, between the 2 S you can have any angle and so you get many possibilities for the 3rd side and the third angle.
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February 7th, 2013, 04:02 AM   #13
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That's incorrect. The number of two possibilities may be 0, 1 or 2, but cannot be greater than 2.
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February 8th, 2013, 05:22 PM   #14
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Re: find the angles and sides of the triangle

Take the angle between the two sides equal to 50, you get one possibility for SSA. Then change the angle say, 30 you will get another one. For almost all angles,there will be a possibility, I think.
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February 9th, 2013, 01:14 AM   #15
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Think again.
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February 13th, 2013, 05:24 PM   #16
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Re: find the angles and sides of the triangle

Yes maximum 2. A little thought experiment made me reach this conclusion, but I need to prove it... I will try.
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February 14th, 2013, 06:27 PM   #17
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Re: find the angles and sides of the triangle

1 possibility when the side opposite A is longer. 2 possibilities when the side opposite A is shorter. 1 possibility when the 2S(sides) are equal.
And 0 possibility when the triangle can't be drawn, but I cannot say when the triangle cannot be drawn, can anybody?
Maybe in cases like the sides are equal, but the angle greater than or equal to 90, right
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