In triangle PQR, the angle Q = 90 degree, PQ =3 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 the correct option:
A) 3.6 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:3=8:10 --&gt; QY=2.4.   Answer: 2.4 cm.
<result>B</result>
In triangle PQR, the angle Q = 90 degree, PQ =3 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