What is the value of x to the nearest tenth?

ANSWER
9.7 units
EXPLANATION
According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs
[tex] {x}^{2} + {7}^{2} = {12}^{2} [/tex]
This implies that,
[tex] {x}^{2} + 49= 144[/tex]
Group similar terms,
[tex] {x}^{2} = 144 - 49[/tex]
[tex] {x}^{2} = 95[/tex]
[tex]x = \sqrt{95} [/tex]
[tex]x = 9.7 \: units[/tex]
to the nearest tenth.