Question

What is the value of x?

Question 8 options:

6


6√2

12


12√2

Answer 1

if the angles are 90,45,45 so the sides except hypotenuse are congruent
and the hypotenuse is equal to :

`{6 √(2) }^(2) + {6 √(2) }^(2) = {x}^(2) \\ {8.5}^(2) + {8.5}^(2) = {x}^(2) \\ 72.25 + 72.25 = {x}^(2) \\`

`{x}^(2) = 144.5 \\ x = 12`

the answer is 12

hope this helps