In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Choose one:
A) 1.2 cm
B) 2.4 cm
C) 4.8 cm
D) 2.16 cm
E) 3.2 cm

Rationale: "look at the diagram below : now , in case when qy is perpendicular to pr , two right triangles pqr and pqy are similar : qy : qp = qr : pr - - > qy : 4 = 8 : 10 - - > qy = 3.2 . answer : e"
Answer: E