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# Just throwing this out there (I am still new to this board)

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Just throwing this out there (I am still new to this board) [#permalink]  01 Nov 2005, 20:43
Just throwing this out there (I am still new to this board) but when a semicircle bounded by the diameter has a triangle embedded in it. Does the middle angle have to be 90 degrees?? and if it is bounded by a chord are there are no rules for the angle?

Thanks ...
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Re: Geometry question [#permalink]  01 Nov 2005, 20:52
Ferrari321 wrote:
Just throwing this out there (I am still new to this board) but when a semicircle bounded by the diameter has a triangle embedded in it. Does the middle angle have to be 90 degrees?? and if it is bounded by a chord are there are no rules for the angle?

Thanks ...

Does the rest point ( besides the two points as the two ends of the diameter) lie on the semicircle?! ..If it does, the middle angle is 90.

In case of a chord, the middle angle can't be 90. If you are interested in knowing why, you can refer to my illustration
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geo1.doc [24 KiB]

Last edited by laxieqv on 01 Nov 2005, 21:09, edited 1 time in total.
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If the diameter is the base of the triangle, then the angle subtended by the vertex (at the circumference of the semi-circle) is 90 deg.
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# Just throwing this out there (I am still new to this board)

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