SOLUTION: Find the point D(x,y) that equadistance to the points A(1,7) B(8,6) and C(7,-1)

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Question 446467: Find the point D(x,y) that equadistance to the points A(1,7) B(8,6) and C(7,-1)
Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
d(AB)= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
1 7 8 6
d= sqrt%28%286-7%29%5E2%2B%288-1%29%5E2%29
d= sqrt%28%28-1%29%5E2%2B%287%29%5E2%29
d=sqrt%28%2850%29%29
d(AB)=7.07
x1 y1 x2 y2
d(BC)= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
8 6 7 -1
d= sqrt%28%28-1-6%09%29%5E2%2B%287-8%09%29%5E2%29
d= sqrt%28%28-7%29%5E2%2B%28-1%29%5E2%29
d= sqrt%28%2850%29%29
d(BC)=7.07
x1 y1 x2 y2
d(AC)= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
1 7 7 -1
d= sqrt%28%28-1-7%29%5E2%2B%287-1%29%5E2%29
d= sqrt%28%28-8%29%5E2%2B%286%29%5E2%29
d= sqrt%28%28100%29%29
d= 10.00
Perimeter = d(AB)+d(BC)+d(CA)=7.07+7.07+10
==24.14