Constructing a Triangle
Date: 08/20/99 at 20:47:33 From: angel Subject: Geometry How do you construct a triangle with 3 different size segments, or the same size segments?
Date: 08/20/99 at 23:21:37 From: Doctor Peterson Subject: Re: Geometry Hi, Angel. Here's a quick way to do this with compass and straightedge. Make a line and measure out the three lengths, a, b, and c, along it, one after the other. Then use a compass to draw a circle at each of the two places where two of these segments meet (C and A), with the radius set to the length of the "outer" segment (a or c respectively), so that the circles pass through the outer ends of the segments (X and Y). Where these circles meet (if at all) is the third vertex of the triangle, B. Connect B to A and C to make the triangle, and you're done. If the sides are the same length, you just have to draw one copy, segment AB. See if you can figure out how to make the circles in that case. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/
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