perplexus.info :: Geometry : Divide in Half

Divide in Half (Posted on 2014-03-07)

Given a convex quadrilateral. Construct, with straight-edge and
compass, a line parallel to one of the sides of the quadrilateral
that divides the area of the quadrilateral in half.

See The Solution Submitted by Bractals

Rating: 5.0000 (1 votes)

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Response to Solution

| Comment 1 of 6

Playing around with GSP I have not found

a quadrilateral configuration that fails

both constructions in Case III.

If you can find a quadrilateral configuration

that fails both constructions please reply to

this post ( give |AB|, |BC|, |CD|, |DA|, and

angle BAD ).

If you can give a proof why one of the two

constructions must succeed it would be great.

Posted by Bractals on 2014-03-17 19:39:38

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