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#33427

area

similarity

geometry

medium

90 sec

In triangle $PQR$ , angle $R$ is a right angle. Point $S$ lies on $PQ$ , point $T$ lies on $QR$ , and $ST$ is parallel to $PR$ . If the length of $PR$ is 10 units, the length of $ST$ is 5 units, and the area of triangle $PQR$ is 30 square units, what is the length of $TR$ , in units?

• 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.