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 Select:  A) 1.2 cm  B) 2.4 cm  C) 4.8 cm  D) 2.16 cm  E) 3.2 cm
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 --&gt; QY:4=8:10 --&gt; QY=3.2.   Answer: 3.2 cm
<result>E</result>
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