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The lenghts of two sides of a triangle are 7 and 11

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The lenghts of two sides of a triangle are 7 and 11 [#permalink] New post 08 Jul 2017, 13:13
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Hi guys! So, this is the second time I face this type of problem involving the sides of a triangle. Here is type of comparison question:

The lengths of two sides of a triangle are 7 and 11

Quantity A
Quantity B
The length of the third side
4




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

My first thought was to use Pythagoras theorem and them I would find either 6√2 (considering 11 the largest side) or √170 (considering this new side the largest side). I would like to know what do you guys think about this approach and if you guys would use another way to solve it.

Thank!
[Reveal] Spoiler: OA

Last edited by Carcass on 09 Jul 2017, 00:55, edited 3 times in total.
Edited by Carcass
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Re: Triangle Problem [#permalink] New post 08 Jul 2017, 14:10
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MateusLima30 wrote:
Hi guys! So, this is the second time I face this type of problem involving the sides of a triangle. Here is type of comparison question:

"The lenghts of two sides of a triangle are 7 and 11."

Quantity A --> The lenght of the third side
Quantity B --> 4

My first thought was to use Pitagoras theorem and them I would find either 6√2 (considering 11 the largest side) or √170 (considering this new side the largest side). I would like to know what do you guys think about this approach and if you guys would use another way to solve it.

Thank!


IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
DIFFERENCE between A and B < length of third side < SUM of A and B

So, for this question, we get: 11 - 7 < third side < 11 + 7
In other words: 4 < third side < 11

Since the 3rd side must be greater than 4, the correct answer is A

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Re: Triangle Problem [#permalink] New post 08 Jul 2017, 14:16
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If you want more practice with this concept, check out the list of (free) linked questions in the Reinforcement Activities box here: https://www.greenlighttestprep.com/modu ... /video/860

Cheers,
Brent
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Re: The lenghts of two sides of a triangle are 7 and 11 [#permalink] New post 09 Jul 2017, 00:53
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Please read this link qq-how-to-post-a-gre-question-the-easy-way-2357.html on how to proper post a question

Thank you so much.
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Re: The lenghts of two sides of a triangle are 7 and 11 [#permalink] New post 14 Aug 2017, 09:59
Hey there is a triangle rule of sides which is difference of two side < third side < sum of the other two side
Re: The lenghts of two sides of a triangle are 7 and 11   [#permalink] 14 Aug 2017, 09:59
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The lenghts of two sides of a triangle are 7 and 11

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