Question
X, Y, and Z are three points on a plane with XY = 11 cm,
YZ = 13 cm, and XZ = 24 cm. The number of circles that travel through points X, Y, and Z is:Solution
We are given XY=11 cm , YZ=13 cm , and XZ=24 cm .
Since XY+YZ=11+13=24=XZ , the points X, Y, and Z are collinear.
No circle can pass through three collinear points.
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