SOLUTION: 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 fo

Question 708697: 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.
(1 point)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Each half would be a right isosceles triangle with both legs measuring 8 ft.
The diagonal would be the hypotenuse shared by those triangles.
We need to find the length, , in feet, of that hypotenuse.

The Pythagorean theorem says that
the squares of the legs' lengths add up to
the squares of the length of the hypotenuse, so
--> --> --> -->

RELATED QUESTIONS
5. A gardener wants to divide a square piece of lawn in half diagonally. What is the... (answered by nerdybill)

Sam wants to use a fence to divide her square garden in half diagonally. If each side of... (answered by Alan3354)

A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then... (answered by josgarithmetic)

A square lawn has a 35 yard diagonal. How long is one side of the... (answered by josmiceli)

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a... (answered by Simnepi)

If the side of a square is equal to 4, what is the length of the diagonal of the... (answered by Alan3354)

A square piece of paper is folded in half to make a rectangle. The perimeter of the... (answered by ikleyn,MathLover1)

A square piece of fabric is cut diagonally. If the square is 1 yard on a side, how long... (answered by psbhowmick)

"a square piece of land is enclosed with fencing and then divided in half by additional... (answered by Mathtut)