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

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- apoorvk

Okay Jhony, you know what an obtuse angle is - right?

- anonymous

Yeah!

- anonymous

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- 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

Yeah it should be between O and M and beyond the arc right?

- apoorvk

Right-o!

- anonymous

so im right? @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

wait,i was wrong? @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

so its not between O and M and beyond the arc? @apoorvk

- apoorvk

Its definitely between O and M - but where - on the arc or beyond it?

- anonymous

i think its beyond the arc. @apoorvk

- apoorvk

Beyond the arc would render the two sides unequal - so the triangle won't be isosceles!

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