Big Book (old GRE) Test #2 Section 2 Ex 8

GRE Quant Problem Solving
1

Hello everyone,
I do not know if this has been answered before (I can’t find the thread in the forum) but can someone please help me solve this question? I was under the impression that if we are not told anything about the triangle, we cannot assume anything about the lengths of its side. Thank you in advance!

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2

Yes that’s correct, we can’t assume any such explicit information. But in general triangle theory says that sum of two sides is always greater than the third side. So here x+y would always greater than z. Isn’t this the answer?

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3

I also need reply for this

4

Yes, that is the answer. Thank you!