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The length of line segment RT is 8 units
The given triangles are similar triangles
So, we have the following similarity ratio
RS : RT = QC : QY
Substitute the known values in the above equation
4 : RT = 3 : 6
Express as fractions
RT/4 = 6/3
Multiply through by 4
RT = 4 * 6/3
Evaluate
RT = 8
Hence, the length of RT is 8 units
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