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Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
3
IlCreatore wrote:

How did you reach the 5:12:13 triple? Just remembered it as one of the primitive Pitagorean triple or are there any kind of computation to use?


Yes they are pythagorean triplets

here are few more -

3 : 4 : 5

5 : 12 : 13

8 : 15 : 17

1 : 1 : √2

1 : √3: 2
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Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?
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Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
indiragre18 wrote:
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?


I agree. This wouldn't be a problem but we also have the answer option of 12, which corresponds to another P. Triple of 3-4-5. We are never told that 5 is the shortest leg of the journey or the longest. If we assume shortest, 5-12-13 works, if we assume longest, 3-4-5 works.

Now, the only possibility I can see here is that "one of the legs of the journey" in the original question directly corresponds to a triangle side that is NOT the hypotenuse, however this wouldn't really make sense as we are never outright told we have a triangle (figuring this out is part of the problem I assume), and classifying the 2 shorter sides as "legs" and the longer hypotenuse as something else also doesn't make sense from a terminology standpoint.
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Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
Expert Reply
projectoffset wrote:
indiragre18 wrote:
The question states one of the legs of the journey was 5 miles.
We haven't been told which one, the shorter one or the longer one.
Shouldn't the answer be E?


I agree. This wouldn't be a problem but we also have the answer option of 12, which corresponds to another P. Triple of 3-4-5. We are never told that 5 is the shortest leg of the journey or the longest. If we assume shortest, 5-12-13 works, if we assume longest, 3-4-5 works.

Now, the only possibility I can see here is that "one of the legs of the journey" in the original question directly corresponds to a triangle side that is NOT the hypotenuse, however this wouldn't really make sense as we are never outright told we have a triangle (figuring this out is part of the problem I assume), and classifying the 2 shorter sides as "legs" and the longer hypotenuse as something else also doesn't make sense from a terminology standpoint.



You are correct in your thinking and even the language is having some typo.
correcting it. Thanks
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Re: Michael drives x miles due north at arrives at Point A. He [#permalink]
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