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HadynSierra15 Group Title

The figure below shows a partially completed construction of an acute scalene triangle. Points P and Q represent two vertices of the triangle. Where should the point for the third vertex lie? The figure below shows a partially completed construction of an acute scalene triangle. Points P and Q represent two vertices of the triangle. Where should the point for the third vertex lie? @Mathematics

  • 3 years ago
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  1. HadynSierra15 Group Title
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    between Q and L and on the arc between Q and M and on the arc between O and L and beyond the arc between O and M and beyond the arc

    • 3 years ago
  3. sandra Group Title
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    hmm, ok so scaline means no equal sides, no equal angles.

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    acute means all angles are less than 90 degrees

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    so if it's between Q and L on the arc, then the angle made by the center vertex will be way over 90 degrees, so it can't be that one

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    I think if it's between O and L and beyond the arc (namely, beyond the arc but well before P

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    |dw:1320636522411:dw|

    • 3 years ago
  8. HadynSierra15 Group Title
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    i'm confused . . . ? so which one would it be ?

    • 3 years ago
  9. sandra Group Title
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    the third choice I think - it's the only one that allows all of the angles to be small once you connect the vertices (less than 90 degrees)

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  10. sandra Group Title
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    |dw:1320636874643:dw|

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  11. HadynSierra15 Group Title
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    oh . thank you :D

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