Respuesta :

mcherr9
so the pythagorean theorem is:

a^2+b^2=c^2

where a and b are the sides, and c is the hypotenuse.

to fill this in, we will get:

x^2+8^2=14^2

now we will need to solve.

x^2+8^2=14^2
x^2+64=196
x^2=132
x=11.5

Answer: It's 11.5

Explanation ( took so long)

[tex]C = \sqrt{a^{2} + b^{2} }\\14 = \sqrt{8^{2} + b^{2} }\\14 = \sqrt{64 + b^{2} }\\14^{2} = 64 + b^{2} \\196 = 64 + b^{2} \\64 +b^{2} = 196\\b^{2} = 196 - 64\\b^{2} =132\\b = \sqrt{132} \\b = 11.48[/tex]

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