a triangle drawn on a map has sides of lenghts 7.0 cm, 11 cm, and 15 cm. the shortest of the corresponding real-life distances is 123km. find the longest of the real-life distatnces. round to the nearest unit.
Cross multiply and solve for x.
7/123 = 15/x
Be sure to round to the nearest whole number.
Right.
Oh well, I still think it is principles of math.
To find the longest real-life distance, we need to determine the scale of the map. We can use the given information about the shortest corresponding real-life distance.
Let's find the scale of the map by dividing the shortest real-life distance by its corresponding length on the map:
Scale = Shortest real-life distance / Length on the map
Scale = 123 km / 7.0 cm = 17.57 km/cm (rounded to 2 decimal places)
Now, we need to find the longest real-life distance corresponding to the longest side of the triangle on the map.
Longest real-life distance = Length on the map * Scale
Longest real-life distance = 15 cm * 17.57 km/cm = 263.55 km
Rounded to the nearest unit, the longest real-life distance is approximately 264 km.