SOLUTION: architect is trying to draw on an isosceles triangle on a grid to use in his next blueprint. He has a point at (6, 3) and a point at (-2, 3). What could be the third point?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: architect is trying to draw on an isosceles triangle on a grid to use in his next blueprint. He has a point at (6, 3) and a point at (-2, 3). What could be the third point?      Log On

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Question 939248: architect is trying to draw on an isosceles triangle on a grid to use in his next blueprint. He has a point at (6, 3) and a point at (-2, 3). What could be the third point?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line through the given points is:
+m%5B1%5D+=+%28+3+-+3+%29+%2F+%28+-2+-+6+%29+=+0+
This means the line is horizontal ( zero slope )
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I will say there is a line segment starting at ( 6,3 )
having a slope of +m%5B2%5D+=+-1+
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Also, there is a line segment from ( -2,3 ) having
a slope of +m%5B3%5D+=+1+
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These line segments meet at ( x, y ), where +x+=+%28+6+-+2+%29%2F2+
+x+=+2+, so the point is ( 2,y )
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I can say:
+%28+3+-+y+%29+%2F+%28+6+-+2+%29+=+-1+
+3+-+y+=+-4+
+y+=+7+
and
+%28+3+-+y+%29+%2F+%28+-2+-+2+%29+=+1+
+3+-+y+=+-4+
+y+=+7+
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The third point is ( 2,7 )
The angles of the triangle are 45 -45 - 90