Answer:
The hypotenuse measures 8.48 meters.
Explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem: 
 
6 ^ 2 + 6 ^ 2 = X ^ 2 
36 + 36 = X ^ 2 
√ 72 = X 
8.48 = X 
 
Therefore, the hypotenuse measures 8.48 meters.