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.

Answer 1

The distance between Centerville and Capital City is 1336 kilometers.

Step by step explanation:

To solve the situation, we can use the Pythagorean theorem, which is represented by the following expression and diagram:

Now, if a=913 kilometers and b=976 kilometers. Solve for c:

`\begin{gathered} 913^2+976^2=c^2 \\ c=\sqrt[]{913^2+976^2} \\ c=\sqrt[]{833569+952576} \\ c=\sqrt[]{1786145} \\ c=1336\text{ kilometers} \end{gathered}`