In △RST, SU=45 in. What is the length of UX¯¯¯¯¯¯?

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Answer 1 · 2017-12-10T11:11:40

#:. UX=15" in."#.

Recall that #3# medians of a #Delta# are concurrent.

Their point of concurrence is called the centroid of the #Delta.#

The centroid divides each median in the ratio #2:1# from the

vertex.

In our case, #SX : UX=2:1.#

#:. UX=1/3*SU=1/3*45=15" in."#.

In △RST, ​ SU=45 in. ​ What is the length of UX¯¯¯¯¯¯?