perplexus.info :: Numbers : A Pythagorean triplet

A Pythagorean triplet (Posted on 2012-08-28)

Given that a²+b² = c²
find the value of a*b*c if a+b+c=1000.

Submitted by Ady TZIDON

Rating: 5.0000 (2 votes)

Solution: (Hide)

Positive triplets: a or b = 200, b or a = 375, c = 425, a*b*c = 31875000.
See broll's post for all integer solutions,

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

Subject	Author	Date
Pen & paper approach (spoiler)	Harry	2012-08-30 19:18:15
Once in a lifetime opportunity	broll	2012-08-28 12:50:23
computer solution	Charlie	2012-08-28 11:14:42
possible solution	broll	2012-08-28 10:44:00

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info