a Three cities are at the vertices of an equilateraltriangle of unit length. Flying Lion Airlines needs tosupply connecting service between these three cities.What is the minimum length of the two routes neededto supply the connecting service?b Now suppose Flying Lion Airlines adds a hub at the“center” of the equilateral triangle. Show that the length of the routes needed to connect the three cities has de-creased by 13%. (Note: It has been shown that no mat-ter how many “hubs” you add and no matter how many points must be connected, you can never save more than 13% of the total distance needed to “span” all the orig-inal points by adding hubs.)†
a Three cities are at the vertices of an equilateraltriangle of unit length. Flying Lion Airlines needs tosupply connecting service between these three cities.What is the minimum length of the two routes neededto supply the connecting service?b Now suppose Flying Lion Airlines adds a hub at the“center” of the equilateral triangle. Show that the length of the routes needed to connect the three cities has de-creased by 13%. (Note: It has been shown that no mat-ter how many “hubs” you add and no matter how many points must be connected, you can never save more than 13% of the total distance needed to “span” all the orig-inal points by adding hubs.)†
a Three cities are at the vertices of an equilateraltriangle of unit length. Flying Lion Airlines needs tosupply connecting service between these three cities.What is the minimum length of the two routes neededto supply the connecting service?b Now suppose Flying Lion Airlines adds a hub at the“center” of the equilateral triangle. Show that the length of the routes needed to connect the three cities has de-creased by 13%. (Note: It has been shown that no mat-ter how many “hubs” you add and no matter how many points must be connected, you can never save more than 13% of the total distance needed to “span” all the orig-inal points by adding hubs.)†
a Three cities are at the vertices of an equilateral triangle of unit length. Flying Lion Airlines needs to supply connecting service between these three cities. What is the minimum length of the two routes needed to supply the connecting service? b Now suppose Flying Lion Airlines adds a hub at the “center” of the equilateral triangle. Show that the length
of the routes needed to connect the three cities has de- creased by 13%. (Note: It has been shown that no mat- ter how many “hubs” you add and no matter how many
points must be connected, you can never save more than
13% of the total distance needed to “span” all the orig- inal points by adding hubs.)†
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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