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aroub

Given a ∆PQR, what is the locus of points that are equidistant from R at a distance QR? idk, maybe a circle with center R and and a radius QR? Like this:

  • one year ago
  • one year ago

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  1. aroub
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    |dw:1352470604128:dw| I know it looks so wrong, but this what I could think of ._.

    • one year ago
  2. Wallach
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    I think you are right but I'm not sure why they needed a triangle for that they could just use a line

    • one year ago
  3. phi
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    you can check your reasoning like this. Pick a point on the circle. How far is it from point R? By construction, it is RQ away from point R. So your circle meets the requirement

    • one year ago
  4. phi
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    On the other hand, pick any point not on the circle. Then (by definition) that point is not RQ away from point R. It is either further away or closer. So only the points on the circle work.

    • one year ago
  5. Wallach
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    they just wrote the definition of radius more or less but why they added the triangle that's what I don't understand

    • one year ago
  6. phi
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    why they added the triangle ? Either to confuse people, or the sentence does not mean what I think it means. I'm going with the first option.

    • one year ago
  7. aroub
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    So I have to use construction in here too? -.- But what I did is correct, right?

    • one year ago
  8. Wallach
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    I believe so :)

    • one year ago
  9. aroub
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    Thank you!!

    • one year ago
  10. phi
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    why they added the triangle ? or maybe there are other parts to the question that use this triangle?

    • one year ago
  11. aroub
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    No, there isn't any other parts. Maybe they just want to confuse us..

    • one year ago
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