All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Rectangle Point (Posted on 2017-02-28)

Let P be a point in the plane of rectangle ABCD.
Let a, b, c, and d be the distances PA, PB, PC, and
PD respectively.

Find d in terms of a, b, and c.

 No Solution Yet Submitted by Bractals No Rating

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

I was helping some students prepare for a math counts competition this afternoon by doing an old sprint round test.  This problem was on it, albeit with three of the variables given, solve for the fourth.

I had no memory of this one - yet I was the only one to post about it less than a year ago!

After solving it easily enough I made a note work on a generalization when I got home.  I did so, analytically this time and the result was nice so I thought I'd post it here - if it wasn't here already.  So I did a search and lo and behold...

 Posted by Jer on 2018-01-05 22:07:04

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: