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Easy Triangle Question

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Easy Triangle Question

by seal4913 » Sun Apr 01, 2012 1:58 pm
If 5 and 7 are the lengths of two sides of a triangle. which of the following could be the length of the third side?

I. 2

II. 5

III. 7


I only

III only

I and II only

II and III only

I, II and III

[spoiler]Since the sum of the two sides cannot be greater than the 3rd side or the 3rd cannot be smaller than the difference of the two sides we get 2 < x < 12. Therefore the answer is D II and III only.[/spoiler]
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by lightsout85 » Sun Apr 01, 2012 3:34 pm
B, III only, triangle is isosceles.
Last edited by lightsout85 on Sun Apr 01, 2012 4:00 pm, edited 1 time in total.
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by seal4913 » Sun Apr 01, 2012 3:44 pm
Triangle cannont be equalateral as an equalateral triangle has all equal sides. It says two sides are 5 and 7 at most it can be an isoceles
lightsout85 wrote:B, III only, triangle is equilateral.
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by pemdas » Sun Apr 01, 2012 3:48 pm
it's d
why you post if the question was solved?
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by seal4913 » Sun Apr 01, 2012 3:51 pm
I'm sure other people would like to try answering. Just like others who post questions with OA no different. As you can see above someone does not know so this benefits them. Why ask?
pemdas wrote:it's d
why you post if the question was solved?
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by amit28it » Tue Apr 03, 2012 1:22 am
seal4913 wrote:If 5 and 7 are the lengths of two sides of a triangle. which of the following could be the length of the third side?

I. 2

II. 5

III. 7


I only

III only

I and II only

II and III only

I, II and III

[spoiler]Since the sum of the two sides cannot be greater than the 3rd side or the 3rd cannot be smaller than the difference of the two sides we get 2 < x < 12. Therefore the answer is D II and III only.[/spoiler]
In this question its clearly visible that this triangle is an isosceles triangle and in isosceles triangle two sides have the same measurement,So the third option is correct.
Area of a Regular Polygon Formula
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by Pharo » Wed Apr 04, 2012 4:07 am
amit28it wrote: In this question its clearly visible that this triangle is an isosceles triangle and in isosceles triangle two sides have the same measurement,So the third option is correct.
Area of a Regular Polygon Formula
You are wrong. There is nothing that can prove that this triangle is isosceles. How can you prove that? If it is isosceles; are the sides 5,5,7? Or 7,7,5? Just as i cannot prove to you that this triangle's measurements are 5,6,7 you cannot prove to me that it is isosceles. I can tell you that this triangle "might" have measurements as 5,10,7; but i cannot prove that it definitely has those measurements to you either.

There are an infinite number of possible triangles with the above criteria and the range for the unknown side is (2,12) as explained in the OA. Since only II and III fall in this range, the answer is D.
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