SOLUTION: A Texas ranch is in the shape of a square 60 miles on each side. If the ranch house is at the exact center of the square, how far is it from the house to any corner of the property

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Texas ranch is in the shape of a square 60 miles on each side. If the ranch house is at the exact center of the square, how far is it from the house to any corner of the property      Log On


   

Question 22528: A Texas ranch is in the shape of a square 60 miles on each side. If the ranch house is at the exact center of the square, how far is it from the house to any corner of the property?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagoras to find the length of a diagonal:
60^2 + 60^2 = (diagonal)^2
You should get diagonal = 60(sqrt 2)
The house is half-way along the diagonal or
30(sqrt2) from each corner of the property.
Cheers,
Stan H.