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## HadynSierra15 4 years ago 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

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1. HadynSierra15

2. HadynSierra15

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. sandra

hmm, ok so scaline means no equal sides, no equal angles.

4. sandra

acute means all angles are less than 90 degrees

5. sandra

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

6. sandra

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

7. sandra

|dw:1320636522411:dw|

8. HadynSierra15

i'm confused . . . ? so which one would it be ?

9. sandra

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)

10. sandra

|dw:1320636874643:dw|

11. HadynSierra15

oh . thank you :D

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