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jhonathanceballos Group Title

The figure below shows a partially completed construction of an obtuse isosceles triangle. Points P and L represent two vertices of the triangle. http://oi45.tinypic.com/2466fd0.jpg Where should the point for the third vertex lie? between O and L and on the arc between O and L and beyond the arc between O and M and beyond the arc between O and M and on the arc

  • one year ago
  • one year ago

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  1. apoorvk Group Title
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    Okay Jhony, you know what an obtuse angle is - right?

    • one year ago
  2. jhonathanceballos Group Title
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    Yeah!

    • one year ago
  3. jhonathanceballos Group Title
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    @apoorvk

    • one year ago
  4. apoorvk Group Title
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    Am sorry I got away - yeah so - Obtuse means an angle greater than 90 degrees - now moving point away from O, towards M would *increase* <LPO, rendering it obtuse. So - any thoughts now?

    • one year ago
  5. jhonathanceballos Group Title
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    Yeah it should be between O and M and beyond the arc right?

    • one year ago
  6. apoorvk Group Title
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    Right-o!

    • one year ago
  7. jhonathanceballos Group Title
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    so im right? @apoorvk

    • one year ago
  8. apoorvk Group Title
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    Okay now - I want it to remain isosceles. so if the third vertex is exactly on the arc, then the two sides would be equal, since they are the radii of the same arc! So - which option finally?

    • one year ago
  9. jhonathanceballos Group Title
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    wait,i was wrong? @apoorvk

    • one year ago
  10. apoorvk Group Title
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    Actually two things have to be defined - one where the point has to be in respect to L and O, and where with respect to the arc (beyond, on or before the arc). Read your options!

    • one year ago
  11. jhonathanceballos Group Title
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    so its not between O and M and beyond the arc? @apoorvk

    • one year ago
  12. apoorvk Group Title
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    Its definitely between O and M - but where - on the arc or beyond it?

    • one year ago
  13. jhonathanceballos Group Title
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    i think its beyond the arc. @apoorvk

    • one year ago
  14. apoorvk Group Title
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    Beyond the arc would render the two sides unequal - so the triangle won't be isosceles!

    • one year ago
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