The perimeter of an isosceles right-angled triangle is 2p unit. The area of the same triangle is

• Let y is length of the hypotenuse
  x-length of other one side
  given that
  2x + y=2p
  from Pythagorean theorem
  y=(2)^0.5 * x
  
  2x + sqrt(2)x =2p
  x(2+sqrt(2)) =2p
  x=2p/(2+sqrt(2))
  =p(2-sqrt(2))
  area = x^2/2
  = (p^2)(6-4sqrt(2))/2
  = (p^2)(3-2sqrt(2))
• 12 years agoHelpfull: Yes(6) No(0)