<PRE><B>Question 1058558</B>
We can use the distance formula for any two points in the Cartesian plane
:
we have three points (1,2), (4,-1), (6,y)
:
since the triangle is isosceles, we know that
:
square root( (6-1)^2 + (y-2)^2) ) = square root( (6-4)^2 + (y+1)^2 )
:
square both sides of the =
:
25 + y^2 -4x + 4 = 4 + y^2 +2x + 1
:
6y = -24
:
y = -4
:
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The ordinate of the third point is -4
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:

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