SOLUTION: if the diagonal of a square garden is 16ft , what is the exact measure of each side

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: if the diagonal of a square garden is 16ft , what is the exact measure of each side      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 680978: if the diagonal of a square garden is 16ft , what is the exact measure of each side
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

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%5E2=a%5E2%2Ba%5E2
d%5E2=2a%5E2
d%5E2%2F2=a%5E2

sqrt%28d%5E2%2F2%29=a.....plug in d

sqrt%28%2816ft%29%5E2%2F2%29=a

sqrt%28256ft%5E2%2F2%29=a

sqrt%28128ft%5E2%29=a

11.314ft=a