Answer:
x = [tex]\sqrt{99}[/tex]
Step-by-step explanation:
Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.
[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]
Therefor x = [tex]\sqrt{99}[/tex]
