In the pulley system shown in this figure, mq = 30 mm, np = 10 mm, and qp = 21 mm. find mn.

For a better understanding of this problem, see the figure below. Our goal is to find . Since:

and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

By Pythagorean theorem, for triangle NQP:

Applying Pythagorean theorem again, but for triangle MQN:

the first dot plot best represents the data

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