A park needs to make a cement walkway that cuts through the park diagonally. If the length of the park is 300 meters and the width is 400 meters, how long will the walkway be?
Just good ol' Pythagoras ....
L^2 = 300^2 + 400^2
L = .....
Is it 500 m? Square root of 250000 = 500
yes, notice that 300, 400, and 500 is simply a multiple of 3,4, 5
3,4,5 would form the smallest right-angled triangle with integer sides.
To find the length of the walkway that cuts diagonally through the park, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the park form the two sides of a right triangle, with the walkway as the hypotenuse. The length is 300 meters and the width is 400 meters.
So, we can calculate the length of the walkway using the Pythagorean theorem:
Length of walkway = √(length^2 + width^2) = √(300^2 + 400^2)
Calculating this formula:
Length of walkway = √(90000 + 160000) = √(250000)
Taking the square root of 250000:
Length of walkway = 500 meters
Therefore, the length of the walkway is 500 meters.