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Divide in Half (Posted on 2014-03-07) Difficulty: 3 of 5

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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Response to Solution | Comment 4 of 6 |
(In reply to re: Response to Solution by Harry)

I liked your proof that at least one of the constructions will work.

Now what if four lines are to be constructed that divide the area in half where each is parallel to one of the four sides of the quadrilateral?

This might require that the endpoints of the line segments lie on adjacent and opposite sides of the quadrilateral.

Edited on March 19, 2014, 12:25 pm
  Posted by Bractals on 2014-03-19 12:22:21

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