ABC is an isosceles triangle. If the coordinates of the base are. B1,3) and, C-2,7, the coordinates of vertex A can be
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a
1,6
b
-12,5
c
56,6
d
3,7
answer is C.
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Detailed Solution
Given that the triangle ABC is Isosceles triangle, A is at equal sides from the vertices B and C So that any point on the perependicular bisector of BC except the midpoint of BC is A The midpoint of BC is -12,5 The perpendicular bsiector of BC is y-5=34x+12 4y-20=3x+32 6x-8y-43=0 Verify the options to get the vertex A