Answer:
[tex]x=\sqrt{44}[/tex] or about 6.633
Step-by-step explanation:
First find the hypotenuse of the lower right triangle.
[tex]c^{2} = a^{2} +b^{2}[/tex] c^2 = 6^2 = 8^2
c^2 = 36 + 64 that's 100, square root of 100 is 10 for the hypotenuse of that triangle-- which is a leg of the next triangle.
Use that to solve for x on the upper right triangle.
The hypotenuse of that triangle is 12. 12 squared is 144.
[tex]144 - 100=x^{2}[/tex] 44 = x^2 Take the square root of both sides.
[tex]x = \sqrt{44}[/tex] or x is approximately 6.633
