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Replies: 5   Last Post: Jan 6, 1997 1:37 PM

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 Eileen Schoaff Posts: 39 Registered: 12/3/04
Posted: Jan 6, 1997 1:37 PM

This is off the top of my head, w/o the Sketchpad up and running.
1. Construct segment AB for base.
2. Construct a segment CD for the desired median (since base angle must be
acute, this segment has to be shorter than AB).
3. On CD, dilate C 1/3 distance to D. Since medians intersect in 2:1 ratio.
4. From A, construct a circle with center at A and radius = CC'. Same from B.
Where two circles intersect is where medians intersect.
5. Call point of intersection E. Now from A and B dilate E to create segments
AE' and BE' that are equal to CD.
6. Draw a ray AE' and BE', label intersection F and AFB is isosceles.

7. You can change the length of CD to create different triangles.

I hope this works.

Eileen Schoaff
Buffalo State College

Date Subject Author
1/3/97 Peter F. Ash
1/3/97 burgiel@geom.umn.edu
1/3/97 Nicholas R. Jackiw
1/3/97 James King
1/3/97 Doris Schattschneider
1/6/97 Eileen Schoaff