two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an
d Z(10,1). Their barns are located in the same building, which is at coordinates B(-3,-9). Each unit/grid on the coordinate plane represents 100 meters. Which horse is closer to the barn. Justify your answer ?
To answer this question you need to determine each horse distance to their barn. For horse H the distance would be X: 1-(-3)= 4 Y: 10-(-9)= 19 If you use <span>Pythagoras theory then the distance would be </span>BH^2= 4^2 + 19^2 BH^2= 377 BH= 19.416 Horse H is 1941.6m from the barn
For horse Z the distance would be: X: 10- (-3)= 13 Y: 1-(-9)= 10 BZ^2 = 13^2 + 10^2 BZ^2 = 269 BZ= 16.401 Horse Z is 1640.1m from barn, a bit closer than horse H
