Need help in constructing a locus

[sacred]

Hi,
I need help with constructing the following required locus. Point R is always 3 cm from straight lines MN and KL. Thanks!

 

[Deleted member 4993]

Hi,
I need help with constructing the following required locus. Point R is always 3 cm from straight lines MN and KL. Thanks!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[sacred]

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

I was thinking of one parallel line above MN and the other below MN, vice versa for KL too...somehow the answer given is two lines intersecting at the point where the triangles meet. So, I'm a little lost there

 

[stapel]

somehow the answer given is two lines intersecting at the point where the triangles meet.

How can the locus of points which are three units away from the two specified lines contain, as one of its points, the intersection of those two lines? The intersection point, lying on the lines, cannot also be "three units away" from the lines. :shock:

 

[sacred]

How can the locus of points which are three units away from the two specified lines contain, as one of its points, the intersection of those two lines? The intersection point, lying on the lines, cannot also be "three units away" from the lines. :shock:

So, the book's given answer is wrong? What should the locus be? Explanation will be highly appreciated. Thanks!

 

[stapel]

So, the book's given answer is wrong?

If the question was posted correctly, then I don't see how the book's answer can be correct, no.

 

[sacred]

Hmm...that being the case, can someone please help to enlighten me on what the correct answer should be? This question is really driving me nuts:mrgreen: