The Pythagoras theorem relates the three sides of a right triangle. The length of the remaining side of the given triangle is 8.77 feet
The given parameters are:
[tex]Hypotenuse = 9[/tex]
[tex]Side\ 1 =2[/tex]
Using Pythagoras theorem, we have:
[tex]Hypotenuse^2 = Side\ 1^2 + Side\ 2^2[/tex]
Substitute known values
[tex]9^2 = 2^2 + Side\ 2^2[/tex]
[tex]81 = 4 + Side\ 2^2[/tex]
Collect like terms
[tex]Side\ 2^2 = 81 - 4[/tex]
[tex]Side\ 2^2 = 77[/tex]
Take square roots
[tex]Side\ 2= 8.77[/tex]
Hence, the length of the second side is 8.77 feet
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