Question 680978

two sides of a square along with the diagonal of a square form right angle triangle

so, if the {{{diagonal}}} of a square garden is {{{d=16ft}}} , the exact measure of each side {{{a}}} could be found using Pythagorean theorem:

{{{d^2=a^2+a^2}}}

{{{d^2=2a^2}}}

{{{d^2/2=a^2}}}


{{{sqrt(d^2/2)=a}}}.....plug in {{{d}}}


{{{sqrt((16ft)^2/2)=a}}}


{{{sqrt(256ft^2/2)=a}}}


{{{sqrt(128ft^2)=a}}}


{{{11.314ft=a}}}