Question

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.What is the direct distance between Centerville and Capital City? Round to the nearest kilometer.

Answer 1

To the nearset kilometer, the distance between Centerville and Capital City is 1,336 km

Here, we want to find the distance between Centerville and Capital city

From what we have in the diagram, we can see a right-angled triangle

Thus, we can use Pythagoras' theorem here

It states that the square of the hypotenuse equals the sum of the squares of the two other sides

The distance between Centerville and Capital city is the hypotenuse as it is the side that faces the right-angle

Let us call the distance h

Thus, according to Pythagoras' theorem, we have it that;

`\begin{gathered} h^2=913^2+976^2 \\ h^2\text{ = 833,569+952,576} \\ h^2=\text{ 1,786,145} \\ h\text{ = }\sqrt[]{1,786,145} \\ h\text{ = 1,336.47 } \end{gathered}`