What is the value of x? Show all of your work.Round your answer to the nearest tenth.

Answer:
[tex]x=20.6\ in[/tex]
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
[tex]41.2^{2} =35.7^{2} +x^{2}[/tex]
solver for x
[tex]x^{2}=41.2^{2}-35.7^{2}[/tex]
[tex]x^{2}=422.95[/tex]
[tex]x=20.6\ in[/tex]