This tutorial explains How to construct a regular pentagon: specifically, how to inscribe a regular pentagon within a given circle using only compass and straightedge. A fairly rigorous proof is given, generally suitable for high school math students.
www.opentutorial.com/Construct_a_pentagon www.opentutorial.com/Construct_a_pentagon
Pentagon - Wikipedia, the free encyclopedia
In geometry, a pentagon is any five-sided polygon. A pentagon may be simple or self-intersecting. The internal angles in a simple pentagon total 540°. The term pentagon is commonly used to mean a ...
en.wikipedia.org/wiki/Pentagon
Constructible polygon - Wikipedia, the free encyclopedia
In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge whi...
en.wikipedia.org/wiki/Constructible_polygon
Inscribing a regular pentagon in a circle – and proving it. Straightedge and compass construction ... Construct perpendicular diameters AB and CD. Bisect the radius OB at M. With center M and radius MC, draw an arc intersecting radius OA at N. I claim that CN is the side of the regular pentagon inscribed in the circle.
www.cut-the-knot.org/pythagoras/pentagon.shtml www.cut-the-knot.org/pythagoras/pentagon.shtml
In this assignment we will construct a regular pentagon with the methods of ruler and compass constructions. The pentagon will be constructed by first drawing a circle S which will circumscribe the pentagon. We will also construct a regular octagon.
sierra.nmsu.edu/morandi/CourseMaterials/ConstructingAPe... sierra.nmsu.edu/morandi/CourseMaterials/ConstructingAPentagon.html
There are many ways to construct a regular pentagon. On the right we see the construction of a golden triangle, from which we can make pentagons, decagons, and pentagrams in many ways. We draw the square ABCD, bisect AB at E, make EF=ED, then find G by making AF=AG and BA=BG.
www.jimloy.com/geometry/pentagon.htm www.jimloy.com/geometry/pentagon.htm
Construct a regular pentagon given an edge ... 1. Ratios and angles inside a regular pentagon and pentagram ... There is a construction for the regular pentagon given in B&B, but the construction there is not an answer to this question, since that construction takes as given the center O of the pentagon and one vertex A.
www.math.washington.edu/~king/coursedir/m444a01/class/p... www.math.washington.edu/~king/coursedir/m444a01/class/pentagon%20-11-05.html
We are interested in knowing how to construct a regular pentagon using a compass and a straight edge. ... This is the regular 5-gon, or pentagon. So there you have it. If you wanted to construct a regular pentagon inscribed in a given circle, you could find the radius of the circle, and call its length 4. Then bisect it...
mathforum.org/library/drmath/view/54752.html
How do you construct a regular pentagon and a regular decagon? Can you construct a regular n-gon? ... (Five of them will also be vertices of the pentagon.) To construct the regular pentagon, start with a circle with center O. Draw a diameter AOB, and draw the perpendicular bisector COD. Find the midpoint E of AO.
mathforum.org/library/drmath/view/52463.html
To construct a PENTAGON with ruler (straightedg... ... Pentagon Construction (Alternative Method) ... geometry 01 area of regular pentagon mgz en tg2...
www.youtube.com/watch?v=K8bxVi7OCq0