Question 1166383
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Name the points of intersection of the lines through A that intersect with line k as B, C, and D.  Assume that segment AB is perpendicular to k.  Then, since AC and AD are different lines, triangles ABC and ABD are right triangles where AB is one leg and AC and AD are hypotenuses.  By the Triangle Inequality AC > AB and AD > AB, but the measure of any line segment that is perpendicular to a line is the shortest distance between the endpoint of the line segment that is not on the line and the line.  Since AC and AD are both longer than AB, neither can be a perpendicular.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">


I > Ø
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
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