The length of diagonal is 150 meters
<em><u>Solution:</u></em>
Given that soccer field is 90 meters wide and 120 meters long
The coach asked the players to run from corner to corner diagonally across
To find: length of diagonal
The figure is attached below
Let ABCD be a rectangle with BD as diagonal
From given,
length = DC = 120 meters
width = BC = 90 meters
The diagonal and two sides of rectangle forms a right angled triangle with diagonal as hypotenuse
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, for right angled triangle DCB
Taking square root on both sides,
Thus length of diagonal is 150 meters
