|-|0\|/ /|\4|\|j |*30|*|_3 |=/-\||_3|) +|-|15 |*|^08|_3/|\?

by AwesomeToad, Dec 16, 2010, 3:27 AM

A lot.

What is the least possible perimeter of a triangle whose side lengths are consecutive perfect squares?

Majority rule!

How do people get 0/6s on these things. The hardest problem on the test was:

At random, I choose 3 different points form among 2010 points, evenly spaced on a circle. What is the probability they form a right triangle.

:ninja:

Comment

3 Comments

The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
No, it's a triangle with 0, 1, and 4, so the answer is 5.

by dragon96, Dec 16, 2010, 3:59 AM

The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
No, it's
$(-1)^2 = 1$,
$(0)^2 = 0$, and
$(1)^2 = 1$.
So the perimeter is $1 + 0 + 1 = 2$.

EDIT: The "triangle equality" applies here.
This post has been edited 1 time. Last edited by chaotic_iak, Dec 16, 2010, 5:40 AM

by chaotic_iak, Dec 16, 2010, 5:39 AM

The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
^win :D
Yay for speed CAMLing.

by v_Enhance, Dec 18, 2010, 9:12 PM

Archives
- April 2023
+ August 2014
+ March 2014
+ February 2014
+ May 2013
+ April 2013
Shouts
Submit
  • first shout in 2025

    by Captainscrubz, Jan 28, 2025, 5:32 PM

  • 289322 is crazy

    by Tem8, Nov 20, 2024, 3:13 AM

  • orz evan :orz: thx for diamond

    by Likeminded2017, Nov 17, 2024, 5:44 AM

  • a relic of the past

    by Clew28, Jul 25, 2024, 8:55 PM

  • why'd you look at this? You leave me no choice...

    by aidending, Jul 14, 2024, 11:49 PM

  • hi evan thanks for the diamond

    by Scilyse, Feb 8, 2024, 10:16 PM

  • woa hi evan

    by crazyeyemoody907, Aug 20, 2023, 9:14 PM

  • just google "nontrivial progress" for this blog! :D

    by gracemoon124, Jul 29, 2023, 10:40 PM

  • HI GUYS!

    by unknown12, Apr 16, 2023, 3:04 AM

  • isn't the shoutbox a bit too big?

    by cinnamon_e, Apr 1, 2023, 7:56 PM

  • Omg market moment

    by GrantStar, Mar 19, 2023, 12:50 AM

  • no $ $ $ $

    by v4913, Mar 18, 2023, 9:56 PM

  • do shouts bring this up the blogroll?

    by vsamc, Mar 4, 2023, 4:46 PM

  • hi!
    first shout of 2023 :)

    by purplepenguin2, Feb 13, 2023, 7:21 AM

  • hi evan!!!!!!

    by aops-g5-gethsemanea2, Jul 13, 2022, 4:17 AM

179 shouts
Contributors
About Owner
  • Posts: 6871
  • Joined: Dec 30, 2008
Blog Stats
  • Blog created: Mar 13, 2010
  • Total entries: 383
  • Total visits: 293001
  • Total comments: 1316
Search Blog
a