Answer:

Length of the hypotenuse = 8.5 units

Step-by-step explanation:

Given the length of the sides of an isosceles right triangle to be 6units

Hint: an hypotenuse is the longest line

To solve this, we use Pythagoras rule

Hypotenuse^2 = adjacent ^2 + opposite ^2

Adjacent = opposite = 6

Let our hypotenuse to be a

a^2 = 6^2 + 6^2

a^2 = 36 +36

a^2 = 72

To get a, let's find the square root of 72

a = 8.485 unit

Therefore, the length of the hypotenuse = 8.5 units