Respuesta :

Answer:

4 units long.

Step-by-step explanation:

The 2 legs of an isosceles right angles triangle are equal .

So the area = 1/2 * x^2     where x = length of a leg.

1/2x^2 = 4

x^2 = 8

x = √8

So the length of the hypotenuse is found using the Pythagoras theorem:-

h^2 =   (√8)^2 +  (√8)^2

h^2 = 16

h = 4  (answer).