perplexus.info :: Geometry : A point in a square

A point in a square (Posted on 2004-03-17)

Given a square ABCD, let P be such that AP=1, BP=2 and CP=3.

* What is the length of DP?
* What is the angle APB?

See The Solution Submitted by Federico Kereki

Rating: 3.1250 (8 votes)

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Half a solution

| Comment 1 of 7

Applying Pythagoras, AP squared plus CP squared must equal BP squared plus DP squared, so DP = √6.

Posted by e.g. on 2004-03-17 14:54:52

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