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The lenghts of two sides of a triangle are 7 and 11
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Updated on: 09 Jul 2017, 00:55
Updated on: 09 Jul 2017, 00:55
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Question Stats:
76% (00:24) correct
23% (00:13) wrong based on 34 sessions
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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
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!
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!
Originally posted by MateusLima30 on 08 Jul 2017, 13:13.
Last edited by Carcass on 09 Jul 2017, 00:55, edited 3 times in total.
Last edited by Carcass on 09 Jul 2017, 00:55, edited 3 times in total.
Edited by Carcass
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Triangle Problem
[#permalink]
08 Jul 2017, 14:10
08 Jul 2017, 14:10
2
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!
"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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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Triangle Problem
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08 Jul 2017, 14:16
08 Jul 2017, 14:16
1
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
Cheers,
Brent
