Using the Pythagorean theorem how would you find A if b = 11, c = 17?

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Answer 1 · 2017-03-19T14:34:33

See the entire solution process below:

The Pythagorean Theorem states:

#a^2 + b^2 = c^2#

Substituting for #b# and #c# and solving gives:

#a^2 + 11^2 = 17^2#

#a^2 + 121 = 289#

#a^2 + 121 - color(red)(121) = 289 - color(red)(121)#

#a^2 + 0 = 168#

#a^2 = 168#

#sqrt(a^2) = sqrt(168)#

#a = sqrt(168) = 12.961# rounded to the nearest thousandth.