Five friends live on the same street. Their houses are at points A, B, C, D, and E, with the distances shown.
The five friends decide to meet at point P so that the total walking distance for all five friends is minimized. What is AP?
+26388 Five friends live on the same street.
Their houses are at points A, B, C, D, and E, with the distances shown.
The five friends decide to meet at point P so that the total walking distance
for all five friends is minimized.
What is AP?
\(\begin{array}{|ccccc|c|c|r|} \hline A & B&C&D&E &\text{Meet at} & \text{walking distance} &AP \\ & & & & & & \text{for all} \\ & & & & & & \text{five friends} \\ \hline 0&5&9&11&14&A&39&0\\ \hline 5&0&4&6&9&B&24&5 \\ \hline 9&4&0&2&5&C&\color{red}20&9 \\ \hline 11&6&2&0&3&D&22&11 \\ \hline 14&9&5&3&0&E&31&14 \\ \hline \end{array}\)
The total walking distance
for all five friends is minimized at Point C and AP = 9
