Pythagorean theorem round to the nearest hundredth

Answer:
x = 14.97
Step-by-step explanation:
a= 10 c=18
1. plug variables in for pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]→[tex]10^2+b^2=18^2[/tex]
2.solve for b from pythagorean theorem.
[tex]10^2+b^2=18^2[/tex]→[tex]100+b^2=324[/tex]
-100 -100
[tex]b^2=224[/tex]→[tex]b=\sqrt{224}[/tex]
b = 14.9666295.....
3. Round variable b to the nearest hundreth assuming they expect that and change the variable to x since we were actually looking for x.
b=14.9666....→ b(estimated)= 14.97
x(estimated)=14.97