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Thelengthof QR is,QR = 12We know that,Triangle Midpoint Theorem-The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one-half of the third side.As given in the question,QV = SV, so V is themidpointof QS,SU = RU, so R is the midpoint of RS.Hence, UV is thelinejoining the midpoints of QS and RS.Applying Triangle Midpoint Theorem,UV = 1/2 (QR)QR = 2 × UVQR = 2 × 6QR = 12Hence, QR = 12Learn more about theline segmentvisit:brainly.com/question/280216#SPJ6...