# Math Problem; are you smart enough?

Discussion in 'Off Topic [BG]' started by aarono, Apr 6, 2006.

1. ### aarono

Feb 14, 2006
Minnesota
Here it is:

The right triangle with the sides 5, 12, and 13 has the property that its area is equal to its perimeter. Find another right triangle, also with sides of integral length, that has this property. Explain.

Good luck if you feel like doing it.

2. ### DigMe

Aug 10, 2002
Waco, TX
Yeah, and after you do this kid's homework for him can someone do my lesson plans for next week?

bc

3. ### MunjibungaTotal Hyper-Elite MemberGold Supporting Member

May 6, 2000
San Diego (when not at Groom Lake)
Independent Contractor to Bass San Diego
The area can't be equal to the perimeter, because the units don't match. One is one-dimensional and the other is two-dimentional (you know, length on one and area on another).

4. ### superbassman2000

Dec 20, 2000
Minnesota
that reminds me of those guys who were always trying to get people to make tabs for him fast by titling his threads "Tab competition! who can tab out *insert name here* fastest!"

but in all seriousness, the answer is 42

5. ### Geoff St. GermaineCommercial User

First, you only have to concern yourself with pythagorean triples (right triangles with sides which are integer lengths). So you could just look them up and compute their areas and perimeters and see when they are equal.

Algebraically you have to equate the perimeter and area:

a + b + c = ab/2

You can eliminate c using the Pythagorean theorem. Do some algebra and you get an equation:

a = (4b-8)/(b-4)

If you assume that b is an odd integer you get b = 5 (a = 12) and if you assume that it is even you get b = 6, 8, 12, (b = 8, 6, 5).

So the other triangle is the 6, 8, 10 triangle.

That was a waste of time. Back to coding.

6. ### Geoff St. GermaineCommercial User

The integer values can be equal.

7. ### MJ5150ModeratorStaff MemberSupporting Member

Apr 12, 2001
Olympia, WA
The fluxamization of the equation lends to the realization that the sum of all parts is a clear indication of the summarization of the simple recognition that the citification of the typer of this prose is giving undeniable notification that his pontificating of the situation gives clear evidence of a serious deficiency in understanding. Thus leaving said individual in mortification.

-Mike

8. ### Trevorus

Oct 18, 2002
Urbana, IL
Dude, my brain just imploded. Suprisingly, it didn't hurt all that much...

Dec 20, 2000
Minnesota

w3rd.

Feb 14, 2006
Minnesota

12. ### MunjibungaTotal Hyper-Elite MemberGold Supporting Member

May 6, 2000
San Diego (when not at Groom Lake)
Independent Contractor to Bass San Diego
Mortification ... that's so true.

13. ### Alvaro Martín Gómez A.TalkBass' resident Bongo + cowbell player

I'm in doubt about the above statement, which isn't bad at all since the doubt as a philosophical tool is epistemologically plausible and implies an agnostic euphemism.

14. ### Vorago(((o)))

Jul 17, 2003
Antwerp, Belgium
Nice dictionary work Alvaro

15. ### Bruce LindfieldUnprofessional TalkBass ContributorGold Supporting MemberIn Memoriam

There's always one....

16. ### DigMe

Aug 10, 2002
Waco, TX
This message brought to you by George Clinton and the Rev. Jesse Jackson.

bc