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gmat800live
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Quick question about triangles! 05 Oct 2018, 11:03
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Hi all, apologies, I googled this and couldn't find a convincing answer.

If I know one side and one angle of a triangle, can I assume I can use that to calculate everything else? (Even if it means using law of sines or whatever).

I am asking not because I want to use those rules, but more to understand "sufficiency".

Thank you so much and sorry for the basic question!

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Quick question about triangles! 05 Oct 2018, 13:54
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No, we can’t find out everything from this information. As explanation, consider drawing a line of a defined length. Now make an angle of a defined measure starting from the end of the line. Now, infinite triangles, with variable length of both the remaining sides and angles can be made.


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gmat800live
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Quick question about triangles! 05 Oct 2018, 14:01
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Makes sense thank you!
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Quick question about triangles! 07 Oct 2018, 12:46
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gmat800live
Hi all, apologies, I googled this and couldn't find a convincing answer.

If I know one side and one angle of a triangle, can I assume I can use that to calculate everything else? (Even if it means using law of sines or whatever).

I am asking not because I want to use those rules, but more to understand "sufficiency".

Thank you so much and sorry for the basic question!
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I've heard this referred to as 'rubber band geometry'. Start with what you know: in this case, one side and one angle.



Then, imagine yourself 'grabbing' one corner of the figure, and 'stretching' or 'squishing' it, like you would with a rubber band. Make sure that the values you know stay the same, but try to move the rest of the figure as much as possible.



If you end up with a figure that's different, then you know that your known values weren't enough to 'fix' the rest of the triangle.

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