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Topic review (newest first)
- ganesh
- 2005-07-08 20:29:46
My favorite book is
'The Man Who Loved Only numbers'
by Paul Hoffman
- mathsyperson
- 2005-07-08 01:11:19
I concur. Very good for confusing people though. Well done!
- Roraborealis
- 2005-07-08 00:54:30
Zach, you aren't banned!!!!!
- Zach
- 2005-07-07 22:42:47
Terry Pratchett'll take over the world!
- MathsIsFun
- 2005-07-07 20:31:56
Wow. I Love "Mort" too.
AND SO DO I
Eeek!
- im really bored
- 2005-07-07 08:23:27
I like "False memorys" by Dean R. Kuntz
- Zach
- 2005-07-07 07:43:25
My favourite book is called "Mort" by Terry Pratchett.
- Roraborealis
- 2005-07-07 01:14:11
My favourite book is called 'The seer and the Sword' by Victoria Hanley.
- Polly
- 2005-07-07 00:49:41
mathsyperson wrote:
Here's something weird that I found out whilst doing some coursework: if one of the sides is one unit less than the hypotenuse, the other side has a length equal to the square root of the other two sides' sum.
e.g. 3²+4²=5² --> 3²=4+5
hi
do u like reading my fav boo is harry potter
- Polly
- 2005-07-07 00:48:37
Hi my mate jaz1 is making her self sick i dont know what 2 do pleese help me im worried.
- ganesh
- 2005-07-06 19:11:25
Yes, 2(n)+1 and 2(2n+1)+1 are both odd numbers!
- MathsIsFun
- 2005-07-06 17:51:32
Yes, because they are on the growing sides of a square:
The difference between 3² and 4² is the X's below:
OOOX
OOOX
OOOX
XXXX
So, how many X's do we need to add to grow the square from 3x3 to 4x4? Answer: 3+3+1
Likewise, to go from a 4x4 to 5x5 needs:
OOOOX
OOOOX
OOOOX
OOOOX
XXXXX
How many X's? 4+4+1
Hehe
- ganesh
- 2005-07-06 15:23:50
The three values of the sides of a right angled triangle are also called a Pythagorean Triple.
A Pythagorean triple is a set of three whole numbers , such that one number squared added to another number squared equals the third number squared. Euclid could prove that there are an infinite number of such Pythagorean triples.
Euclid's proof begins with the observation that the difference between successive square numbers is always an odd number.
4 - 1 = 3, 9 - 4 = 5, 16 - 9 = 7, 25 - 16 = 9, 36 - 25 = 11, 49 - 36 = 13 etc.
- MathsIsFun
- 2005-07-05 08:49:54
Zach and ganesh are right, of course, the Pythagoras Theorem is just:
For a Right-Angled Triangle, if you take the length of the longest side (the hypotenuse) and square it (multiply it by itself) then that will be the same value as adding up the squares of the other two sides:
|\
A | \ C
| \
|___\
B
A²+B²=C²
Try it with any size triangle, so long as there is a right angle in it!
- MathsIsFun
- 2005-07-05 08:47:54
Well, ganesh's example (5,12,13) should qualify:
5² = 12+13 YES! ... how interesting. I wonder why.