SOLUTION: 5. A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radic

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 5. A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radic      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 717111: 5. A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radical form.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5. A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radical form.
.
Let d = diagonal
then applying Pythagorean theorem we get
d%5E2+=+8%5E2+%2B+8%5E2
d%5E2+=+2%288%5E2%29
d+=+sqrt%282%288%5E2%29%29
d+=+sqrt%282%2A8%2A8%29
d+=+8%2Asqrt%282%29