The perimeter of an isosceles right triangle is 8+8(sqrt2). Find the length of the hypotenuse.

Let s be the side. then hypotenuse =sqrt2 *s.

Perimeter P=s+s+sqrt2 *s

=s(2+sqrt2 )=8+8(sqrt2).

s=(8+8(sqrt2))/(2+sqrt2).

=5.66.

hypotenuse =sqrt2 *s

=1.414*5.66

=8 m.