perplexus.info :: Geometry : A quadrilateral query

A quadrilateral query (Posted on 2005-08-29)

Consider quadrilateral ABCD whose diagonals are perpendicular and meet at point E.

Minimize the perimeter of ABCD where AB, BC, CD, DA, EA, EB, EC, ED are all different integers.
(Or prove no such quadrilateral exists.)

Submitted by Jer

Rating: 3.0000 (1 votes)

Solution: (Hide)

Smallest perimeter I've found is 176
AB=25 BC=39 CD=60 DA=52 EA=20 EB=15 EC=36 ED=48

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-07-15 02:26:37
re: Computer verification of minimum	Jer	2005-08-29 18:44:54
Computer verification of minimum	Charlie	2005-08-29 18:24:32
Second half of solution	Tristan	2005-08-29 17:17:54
First half of solution	Tristan	2005-08-29 16:59:37
a strategy	Charlie	2005-08-29 16:46:08

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