Hardest Easy Geometry Problems


	Hardest Easy Geometry Problems

skwirlinator

3-30-2008 9:09 PM

565 views

tags:

geometry, knowledge, no i didnt attempt it

5 Comments |

Add a Comment

3-30-2008 9:33 PM

skwirlinator

I hate this!

3-30-2008 9:58 PM

alanocu

geometric pop

3-30-2008 10:16 PM

bignosemousie

I'm trying to solve this. I love a challenge.

3-30-2008 11:38 PM

bignosemousie

Ack! There is no solution given. How will I ever know?!

3-31-2008 12:14 AM

bignosemousie

I found the right answer online, but not the proof. I'd love to see how this is solved.

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/828cee4d-d54e-43ec-8228-fef4014acaff/08562301-CE5C-49A1-AA71-3B917F4DCB1C/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://thinkzone.wlonk.com/MathFun/Triangle.htm" href="http://thinkzone.wlonk.com/MathFun/Triangle.htm" style="font-size: 11px;">thinkzone.wlonk.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><H2>World's Hardest Easy Geometry Problem</H2></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><div align="center"><img src="http://content8.clipmarks.com/blog_cache/thinkzone.wlonk.com/img/B52EDC84-0C31-4B34-83CD-6DBC1E7A82DA" alt="triangle" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><table background="undefined" bgcolor=""><tr><TD valign="top"><P>Using only elementary geometry, determine angle
        x. Provide a step-by-step proof.</p> <P>You may only use elementary geometry, such as the fact that the
        angles of a triangle add up to 180 degrees and the basic congruent
        triangle rules (side-angle-side, etc.). You may not use more advanced
        trigonomery, such as the law of sines, the law of cosines, etc. There
        is a review of elementary geometry below.</p> <P>This is the hardest problem I have ever seen that is, in a sense,
        easy. It really can be done using only elementary geometry. This is
        not a trick question.</p> <P>Here is a <A href="http://thinkzone.wlonk.com/MathFun/Triangle1Hint0.htm">very small hint</A>. Here
        is a <A href="http://thinkzone.wlonk.com/MathFun/Triangle1Hint1.htm">small hint</A>.</p> </TD></tr></table></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><H3>World's Second-Hardest Easy Geometry Problem</H3></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><div align="center"><img src="http://content9.clipmarks.com/blog_cache/thinkzone.wlonk.com/img/1D8024B2-3009-41D8-8DA4-22386452A8E2" alt="triangle" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><P>Using only elementary geometry, determine angle
        x. Provide a step-by-step proof.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><P>This is a variation of the problem above. This is also a very hard
        problem that is, in a sense, easy.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://thinkzone.wlonk.com/MathFun/Triangle.htm"><P>Here is a <A href="http://thinkzone.wlonk.com/MathFun/Triangle2Hint0.htm">very small hint</A>. Here
        is a <A href="http://thinkzone.wlonk.com/MathFun/Triangle2Hint1.htm">small hint</A>.</P></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/08562301-CE5C-49A1-AA71-3B917F4DCB1C/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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