SOLUTION: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

Algebra ->  Pythagorean-theorem -> SOLUTION: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?       Log On


   



Question 549187: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
FIND HYPOTENUSE
The sides and the diagonal form a right triangle
The length is one leg & the width is the other leg
One leg 90 m
Second leg 120 m
Hypotenuse x m
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
x%5E2%09=90%5E2%09%2B%09120%09%5E2
x ^2 = 8100 + 14400
x ^2 = 22500
+sqrt%28x%5E2%29=%09%09sqrt%28%0922500%09%29
x= 150 m