speechfan222 Posted February 21, 2016 Share Posted February 21, 2016 I'm curious about a quantitative question that I was asked on a practice GRE test. A, B, and C are the lengths of the sides of the triangle. Quantity A is 2b and Quantity B is a+b+c. When drawing a picture for this question, how do I know which triangle to use and which side is a, b, or c? I know I can substitute any number in for the variable to determine whether value A or B is greater, but I'm not sure how to draw the triangle. Please help! Link to comment Share on other sites More sharing options...
Vince Kotchian GRE Prep Posted February 22, 2016 Share Posted February 22, 2016 I will give you a hint (since it will increase your skill more than if I just explain the whole question): this question is testing the "3rd side rule of triangles". I.e., any two sides of a triangle must add up to MORE than its remaining side. This has to be true of a triangle no matter which two sides you pick. Another little hint: don't stress about how you draw the triangle. FYI: this is a tough question! Link to comment Share on other sites More sharing options...
greMS15 Posted February 22, 2016 Share Posted February 22, 2016 2 hours ago, speechfan222 said: I'm curious about a quantitative question that I was asked on a practice GRE test. A, B, and C are the lengths of the sides of the triangle. Quantity A is 2b and Quantity B is a+b+c. When drawing a picture for this question, how do I know which triangle to use and which side is a, b, or c? I know I can substitute any number in for the variable to determine whether value A or B is greater, but I'm not sure how to draw the triangle. Please help! is the answer B? Link to comment Share on other sites More sharing options...
Brent@GreenlightGRE Posted March 8, 2016 Share Posted March 8, 2016 IMPORTANT RULE: If two sides of a triangle have lengths A and B, then: the third side < A+B So, for this particular question, we know that b < a + c We have: Quantity A: 2b Quantity B: a + b + c Let's subtract b from both quantities to get: Quantity A: b Quantity B: a + c Aha! Our rule tells us that b < a + c, so it MUST be the case that Quantity B is greater. Answer: B Cheers, Brent - Greenlight Test Prep Link to comment Share on other sites More sharing options...
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