A square-shaped lot measures 50 feet on each side. A diagonal line from one corner of the lot to the opposite corner
forms the hypotenuse of a right triangle. The length of the diagonal can be calculated using the Pythagorean
equation: 50^2 + 50^2 = c^2.
Answers & Comments
diagonal^2 = side^2 + side^2
In this case, the length of each side of the square is given as 50 feet. So, substituting the values into the equation:
diagonal^2 = 50^2 + 50^2
Simplifying the equation:
diagonal^2 = 2500 + 2500
diagonal^2 = 5000
To find the length of the diagonal, we take the square root of both sides:
diagonal = √5000
diagonal ≈ 70.71 feet
Therefore, the length of the diagonal of the square-shaped lot is approximately 70.71 feet.