if the point A(a,2) is equidistant from of the points B(8,-2) and C(2, -2), find the value of a ?
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Given,
BA=AC
[(a-8)^2+4]^1/2=[(2-a)^2+4]^1/2
squaring on both sides,
(a-8)^2+4=(2-a)^2+4
(a-8)^2=(2-a)^2
a-8=2-a
2a=10
a=5
therefore.point A is (5,2).
BA=AC
[(a-8)^2+4]^1/2=[(2-a)^2+4]^1/2
squaring on both sides,
(a-8)^2+4=(2-a)^2+4
(a-8)^2=(2-a)^2
a-8=2-a
2a=10
a=5
therefore.point A is (5,2).
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