anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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apoorvk
  • apoorvk
Okay Jhony, you know what an obtuse angle is - right?
anonymous
  • anonymous
Yeah!
anonymous
  • anonymous

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apoorvk
  • apoorvk
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*
anonymous
  • anonymous
Yeah it should be between O and M and beyond the arc right?
apoorvk
  • apoorvk
Right-o!
anonymous
  • anonymous
so im right? @apoorvk
apoorvk
  • apoorvk
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?
anonymous
  • anonymous
wait,i was wrong? @apoorvk
apoorvk
  • apoorvk
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!
anonymous
  • anonymous
so its not between O and M and beyond the arc? @apoorvk
apoorvk
  • apoorvk
Its definitely between O and M - but where - on the arc or beyond it?
anonymous
  • anonymous
i think its beyond the arc. @apoorvk
apoorvk
  • apoorvk
Beyond the arc would render the two sides unequal - so the triangle won't be isosceles!

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