Question

The distances between Centerville, Springfield, and Capital City form a right triangle. The distance between Centerville and Springfield is 913 kilometers and the distance between Springfield and Capital City is 976 kilometers. View the map.Part BAnwell travels from Centerville to Springfield, then on to Capital City. Yue travels directly from Centerville to Capital City. How much farther does Anwell travel than Yue? Round to the nearest kilometer.

Answer 1

First let's calculate the total distance Anwell travels, by adding the two given distances:

`\begin{gathered} d_1=913+976 \\ d_1=1889 \end{gathered}`

Now, in order to calculate the total distance Yue travels, let's use the Pythagorean Theorem:

`\begin{gathered} d^2_2=913^2+976^2 \\ d^2_2=833569+952576 \\ d^2_2=1786145 \\ d_2=1336 \end{gathered}`

Finally, to find how much farther does Anwell travel than Yue, let's subtract their distances:

`d_1-d_2=1889-1336=553\text{ km}`

So Anwell travels 553 km more than Yue.