Similar Triangles

Question

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In the figure shown, segment AB is parallel to segment YZ. If AZ = 42 units, BQ = 12 units, and QY = 24 units, what is the length of segment QZ?

shreyas1 Oct 7, 2018

edited by shreyas1 Oct 7, 2018

CPhill · Answer 1 · 2018-10-07T03:28:11

triangle AQB is similar to triangle ZQY

Since QY = 24 and BQ = 12

And QY + BQ = 36 = BY

Then QY = (2/3) BY

So... QZ = (2/3) AZ = (2/3) 42 = 28

shreyas1 · Answer 2 · 2018-10-08T10:09:20

Thank you CPhill