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### 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/
```
Associated Topics:
High School Constructions
High School Geometry
High School Triangles and Other Polygons

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