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#1 2007-03-15 04:33:18

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

pythagorean triplet

find the pythagorean triplet ,one of whose members is:-

a)6
b)10
c)14

please hwelp me in all the above ones..


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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#2 2007-03-15 04:42:48

mathsyperson
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Registered: 2005-06-22
Posts: 4,900

Re: pythagorean triplet

This question is fairly easy as long as you know some pythagorean triples already.
3-4-5 is the most basic one, and some others are 5-12-13 and 7-24-25.

You can make more triples from these by multiplying the three numbers by the same thing. You should be able to do that to find triples that contain 6, 10 and 14. You might even be able to find one that contains two of those...


Why did the vector cross the road?
It wanted to be normal.

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#3 2007-03-15 04:53:31

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

Re: pythagorean triplet

Pls ,just Dont Get It Still.
Please Explain Brrriiiieeeffffllllyyy.


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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#4 2007-03-15 05:18:55

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: pythagorean triplet

As in my early post , the generator of the triplet

, m, n random integers.


Numbers are the essence of the Universe

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#5 2007-03-15 06:19:05

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

Re: pythagorean triplet

i cant understand


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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#6 2007-03-15 06:32:44

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: pythagorean triplet

The generator is carried out by observation  of X^2+Y^2=Z^2 , if you put them back into the original formula , you will find , two side of it are equal .


Numbers are the essence of the Universe

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#7 2007-03-15 06:35:21

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

Re: pythagorean triplet

soha wrote:

find the pythagorean triplet ,one of whose members is:-

a)6
b)10
c)14

please hwelp me in all the above ones..

I DONT FEEL WE CAN SOLVE THIS QUESTION BY ABOVE WAY


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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#8 2007-03-15 06:49:04

pi man
Member
Registered: 2006-07-06
Posts: 251

Re: pythagorean triplet

X,Y, and Z are Pythagorean triplets if

.     Like Mathsyperson mentioned, one triplet is 3, 4, and 5 since
.   Once you know that triplet, you can multiply each term of the tripletby the same to come up with a new triplet.   For example, multiple each of the 3, 4, 5 triplet by 2 to get 6, 8 and 10.   
.   So 6, 8, and 10 are also a triplet.   That answers both questions a and b for you.   Now just find one that contains the number 14.

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#9 2007-03-15 08:19:40

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: pythagorean triplet

14[sup]2[/sup] + 48[sup]2[/sup] = 50[sup]2[/sup]

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#10 2007-03-15 10:20:29

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: pythagorean triplet

  let y =14  then mn=7 , let m=7 n=1
we have  x=48 z=50 ,y=14


Numbers are the essence of the Universe

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