perplexus.info :: Just Math : Going Digital With Pythagoras

Going Digital With Pythagoras (Posted on 2008-11-08)

Determine all possible list(s) of pythagorean triple (a,b,c), with 0 < a < b < c < 100, such that we will obtain another pythagorean triple (p,q,r) by inserting the same nonzero digit to the left of each of a, b and c. None of a, b and c can contain any leading zeroes.

Note: Try to derive a non computer assisted method, although computer program/spreadsheet solutions are welcome.

Submitted by K Sengupta

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Solution: (Hide)

(a,b,c) = (5, 12, 13) is the only pythagorean triple that satisfies all the given conditions, with (p, q, r) = (15, 112, 115).

EXPLANATION:

Refer to the analytic solution submitted by Paul in this location.

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

Subject	Author	Date
Solution	Dej Mar	2008-11-10 08:27:34
analytic solution	Paul	2008-11-08 23:38:36
computer solution	Charlie	2008-11-08 17:12:49

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