In a right angled triangle, two sides are consecutive whole number in which one side is hypotenuse. what could be the possible length of third side?

• Options were 360, 361, 362 , none of these..
  I think answer will be 361
• 9 years agoHelpfull: Yes(10) No(5)
• Hypotenuse=5 , Second side= 4;
  so the third side could be 3
• 9 years agoHelpfull: Yes(9) No(0)
• watch it
  https://www.youtube.com/watch?v=86YAPbZmsRI
• 8 years agoHelpfull: Yes(7) No(0)
• basically triplet are 3,4,5,
  5,12 ,13
  7,24,25,
  8,15,17.....question on consecutive whole number so 3,4,5
  we can multiply any digit (digit >0 ) .that will also triplet ..
  ex 30,40,50
  45,60,75,
  300,400,500
• 9 years agoHelpfull: Yes(5) No(1)
• Pythagorean triplets are generated with each "odd number" greater than 1 by using a formula.
  If n is an odd number, then Pythagorean triplet = n,n2−12,n2+12.
  Here 361 is an odd number. So the triplet is 361, 65160, 65161.
  so answer is 361
• 7 years agoHelpfull: Yes(4) No(0)
• option are 1.360 2.361 3.361 4.none of these
  
  correct answer is 2.361
  
  (361)^2 + x^2=(x+1)^2
  you solve this u get the answer.
  
• 9 years agoHelpfull: Yes(2) No(3)
• triplet 3,4,5 satisfing da condition
  hypotenus is 5 (given)
  so another side 4
  and the 3rd side must be multiple of 3...
  now choose from the options.
• 9 years agoHelpfull: Yes(2) No(0)
• options were 360,361,362,none of these..
  answer...none these
  y^2+x^2=(x+1)^2
  y^2=2x+1
  (y,x)=(3,4),(5,12),(7,24),(9,40).........(25,312),(27,364)....
• 9 years agoHelpfull: Yes(2) No(0)
• (x+1)--> hypotenuse
  x--> base
  h--> height
  
  x^2 + h^2 = (x+1)^2
  x^2 + h^2 = x^2 + 1 + 2x
  h^2 = 1 + 2x
  
  now put the value given in the option in place of h,
  the value of h that give the whole no. value of x is the right answer
  i.e 361
  
• 8 years agoHelpfull: Yes(2) No(0)
• It should be every odd number except length of 1.
• 9 years agoHelpfull: Yes(1) No(1)
• In a Right angle triangle the triplets are of form 2m, 2m-1, 2m+1.
  where the hypotenuse is 2m+1, so other side would be 2m or 2m-1.
  for example m=2, hypotenuse will be 5 and other sides would be 4,3.
• 9 years agoHelpfull: Yes(0) No(0)
• Plzz xpln y d ans is 361 mns how???
• 9 years agoHelpfull: Yes(0) No(0)
• If one of the side is A and hyp is B then the thirsd side is always Root Over A+B. Take 4 and 3 Third side will be root 7 and likewise.. .. ...
• 9 years agoHelpfull: Yes(0) No(1)
• 13^2=12^2+5^2
• 8 years agoHelpfull: Yes(0) No(0)
• Pythagorean triplets are generated with each "odd number" greater than 1 by using a formula.
  If n is an odd number, then Pythagorean triplet =
  n
  ,
  n
  2
  −
  1
  2
  ,
  n
  2
  +
  1
  2
  n,n2−12,n2+12.
  Here 361 is an odd number. So the triplet is 361, 65160, 65161.
• 7 years agoHelpfull: Yes(0) No(0)