Wednesday, May 23, 2012

The distance from Arville to Branton is 114 miles. The distance from Branton to Camford is 247 miles. If the 3 towns form a triangle, what's...

In a triangle the sum of measures of any side is always less
than the sum of other two sides.


As Arville, Bronton and Camford
form a triangle, the distance between Arville to Camford must be less than the sum of distances
of Branton from these two places. Thus


Distance between Arville to
Camford < (Distance between Arville to Branton) + (Distance between Camford to
branton)


==> Distance between Arville to Camford < 114
+ 247


==> Distance between Arville to Camford <
361


The distance between Arville to Camford also must be more than
the difference of distances of Branton from these two places.
Thus


Distance between Arville to Camford > (Distance between
Camford to Branton) - (Distance between Arville to Branton)
+


==> Distance between Arville to Camford > 247 -
114


==> Distance between Arville to Camford >
133


Thus:


Distance between Arville to
Camford  must be more than 133 miles and less than 361 miles.

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