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#12604

similarity

geometry

right triangles

hard

120 sec

In right triangle $PQR$ , $∠ R$ is the right angle and $QR = 96$ . Point $S$ on side $PQ$ is connected by a line segment with point $T$ on side $PR$ such that line segment $ST$ is parallel to side $QR$ and $RT = 3 PT$ . What is the length of line segment $ST$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.