SOLUTION: Q.2: If the point (4,t) is equidistant from the points A(4,1) and B(-1,2),find the value of t?

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Question 214196: Q.2: If the point (4,t) is equidistant from the points A(4,1) and B(-1,2),find the value
of t?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the point (4,t) is equidistant from the points A(4,1) and B(-1,2),find the value of t?
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s^2 = diffy^2 + diffx^2
For (4,t) and A(4,1):
s^2 = (t-1)^2
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For (4,t) and B(-1,2):
s^2 = 5^2 + (t-2)^2
The 2 distances (and squares) are equal.
(t-1)^2 = (t-2)^2 + 25
t^2 - 2t + 1 = t^2 - 4t + 29
-2t = -4t + 28
2t = 28
t = 14