If the point A(0, 2) is equidistant from the points B(3, p) and C(p,5)
find p.
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Given, AB=AC
= whole root of (0-3)^2 + (2-p)^2 = whole root of (0-p)^2 + (2-5)^2
= 9 + (2-p)^2 = p^2 + 9
= 4 + p^2 - 4p = p^2
4p =4
p = 1.
Substitute of p-value in AB
Length of AB = whole root of (0-3)^2 + (2-1)^2
= whole root of 9 + 1
= root 10.
Hope this helps!
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