By : Nayana
The point of concurrency you use is circumcenter. The circumcenter of a triangle is equidistant from the vertices of the triangle . But how do you find the circumcenter of the triangle made by the towns ? . The link below shows you how to draw a circumcenter
There is a fire in reighnsville and the firefighters need to get there fast . How far reighnsville from the fire station.
use the information in the picture below to solve the problem.
How to solve the problem
according to the picture it is given that segment FS is 64 miles . It is also given that segments AF , BF and CF are perpendicular bisectors .
Since all that information is given you can conclude that :
FS = FR = FM by the circumcenter theorem
Now you can find the distance of segment FR ( fire station to Reignsville)
FS = FR Given
FS = 64 Given
FR = 64 by substitution
The distance is 64 miles .