Question

In △RST, RW=27 cm.



What is the length of RX¯¯¯¯¯¯?

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cm

A right triangle R T S with right angle at T. U is the midpoint of side R T. Segment R U and segment U T are labeled with triple tick mark. W is the midpoint of side T S. Segment T W and segment W S are labeled with single tick mark. V is the midpoint of side S R. Segment S V and segment V R are labeled with double tick mark. Line segment R W and T V and S U are medians of the triangle. Medians intersect with each other at an interior point labeled as X.

Answer 1

The medians meet at the centroid, which lies 2/3 of the way from a vertex to the midpoint of the opposite side. Thus RX = (2/3)·RW = (2/3)·27 = 18 cm.