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 the field. How far do the players ru

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 the field. How far do the players ru      Log On


   



Question 963850: 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 the field. How far do the players run?







Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A soccer field is a rectangle
given:
W=90m and L=120m
if players have to run from one corner to the corner diagonally across the field, then diagonal of a soccer field is a hypotenuse of a triangle whose legs are W=90m and L=120m; so, use Pythagorean theorem to find the length of diagonal d
d%5E2=%2890m%29%5E2%2B%28120m%29%5E2
d%5E2=8100m%5E2%2B14400m%5E2
d%5E2=22500m%5E2
d=sqrt%2822500m%5E2%29
d=150m
the players run 150m