Loading...

#12397

similarity

area

geometry

hard

60 sec

In triangle $MNO$ , angle $O$ is a right angle. Point $P$ lies on $MN$ , point $Q$ lies on $NO$ , and $PQ$ is parallel to $MO$ . If the length of $MO$ is 54 units, the length of $PQ$ is 18 units, and the area of triangle $MNO$ is 486 square units, what is the length of $QO$ , 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.