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Quick question about triangles!

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Intern
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Joined: 06 Sep 2018
Posts: 33
GMAT 1: 740 Q48 V44
Quick question about triangles!  [#permalink]

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New post 05 Oct 2018, 11:03
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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Re: Quick question about triangles!  [#permalink]

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New post 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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Intern
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Joined: 06 Sep 2018
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GMAT 1: 740 Q48 V44
Re: Quick question about triangles!  [#permalink]

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New post 05 Oct 2018, 14:01
Makes sense thank you!
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GMAT 1: 790 Q51 V49
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Re: Quick question about triangles!  [#permalink]

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New post 07 Oct 2018, 12:46
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gmat800live wrote:
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!


I've heard this referred to as 'rubber band geometry'. Start with what you know: in this case, one side and one angle.

Image

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.

Image

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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Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

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Re: Quick question about triangles! &nbs [#permalink] 07 Oct 2018, 12:46
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Quick question about triangles!

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