The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 88
miles due north of the warehouse. A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
The answer is __ because the directions that the truck traveled are basically in the shape of a right triangle. From the warehouse to the airport, that's the slanted line, and from the warehouse to the factory, and the factory to the airport, those are the other lines.
To find the slant line of a right triangle, you want to use the Pythagorean theorem:
a^(2) * b^(2) = c^(2)
c being the slant line
In this case, we want to count how many boxes the other two lines are, then later factor in what units it's in. (meaning later we convert the boxes into miles)
The distance from the warehouse to the factory is 8, and the distance from the factory to the airport is 6. Now, we want to multiply 8 squared by 6 squared to equal c squared.
64+36 = 100
c squared = 100
Next, we have to find the square root of both sides of the equation.
c = 10
This means that there are 10 boxes in between the airport and the warehouse. Since one box = 44 miles, then we multiply our answer by 44 to find the real amount of miles that the truck traveled.
The distance from the warehouse to the airport = 440 miles The distance from the warehouse to the factory = 352 miles (44*8) The distance from the factory to the airport = 264 miles (44*6)
Now just add all the values together to find out how many miles in total the truck traveled.
They can't form a triangle because the sum of 2 sidelengths is ALWAYS greater than the 3rd side in a triangle. Because 5+7=12<14, this means that it can't form a triangle.
