[maverickisneo]

Originally Posted by warrior

If x,y,z are real - infinite

If x,y,z non negative - 66

if x,y,z positive then - 36

oh yea, i for got to mention that x,y and z are non negative integers.always do this silly mistake

one more prob:
on the lines of number of possible traingles for given perimeter.
say, if x+y+z=22, then we have hw many traingles.x,y and z are sides of traingle

[General Patton]

Originally Posted by maverickisneo

oh yea, i for got to mention that x,y and z are non negative integers.always do this silly mistake

one more prob:
on the lines of number of possible traingles for given perimeter.
say, if x+y+z=22, then we have hw many traingles.x,y and z are sides of traingle

the max integral side length = 10

number of equilateral triangles = 0.
number of isosceles triangles = (10,10,2);(9,9,4);(8,8,6);(7,7,5);(6,6,10). Hence 5.
number of scalene triangles = (10,9,3);(10,8,4);(10,7,5);(9,8,5);(9,7,6). Hence 5.

total = 10.

[kabir1224]

Originally Posted by warrior

If x,y,z are real - infinite

If x,y,z non negative - 66

if x,y,z positive then - 36

Bingo. Sir plz if you could elucidate ur approach that would really help all of us.

[mr.s.k.abhi]

Originally Posted by warrior

If x,y,z are real - infinite

If x,y,z non negative - 66

if x,y,z positive then - 36

GUYS method plz....
waiting for it for al the 3 cases

[warrior]

Originally Posted by mr.s.k.abhi

GUYS method plz....
waiting for it for al the 3 cases

id nos are real and even integers then its infinite that's quite clear.

2) x+y+z = 10 and x,y,z>=0

formulas (n+r-1)C(r-1) here n= 10 and r=3

3) x,y,z>0

so take x1,y1,z1>=0 and x=x1+1 and so on

eq become x1+y1+z1= 7

now n= 7 and r=3

[maverickisneo]

Originally Posted by General Patton

the max integral side length = 10

number of equilateral triangles = 0.
number of isosceles triangles = (10,10,2);(9,9,4);(8,8,6);(7,7,5);(6,6,10). Hence 5.
number of scalene triangles = (10,9,3);(10,8,4);(10,7,5);(9,8,5);(9,7,6). Hence 5.

total = 10.

hey whether u used any method or was it based on counting.
if method, then plz do elaborate.

[harsh agrawal]

i think wat our frn did was that he used da theorem which says
in any triangle the sum of two sides is greater than the third side
that ways the problem gets narrowed
i have a question 4 u guys
let moi arrange the question

[harsh agrawal]

hmmmm
here is the questioon
A E

B D F

C G
u have 2 insert nos. from 0 to 9 in such a way that
A*B*C=E*F*G=B*D*F
its not very difficult
shud take 3 minutes
if u know ur numbers
happy solving

[harsh agrawal]

sorry 4 the bad arrangement of the question:neutral:

[warrior]

Originally Posted by harsh agrawal

hmmmm
here is the questioon
A E

B D F

C G
u have 2 insert nos. from 0 to 9 in such a way that
A*B*C=E*F*G=B*D*F
its not very difficult
shud take 3 minutes
if u know ur numbers
happy solving

where do i need to insert them.

buddy make a doc file and then post