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In rectangle WXYZ, A is on side WX such that AX = 4, B is on side YZ such that BY = 18, and C is on side XY such that ACB= 90 degrees and CY = 2CX. Find AB.

 Jun 20, 2020
 #1
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By the Pythagorean Theorem, AB = 4*sqrt(11).

 Jun 20, 2020
 #2
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AB cannot be shorter than BY!!!

 

https://www.youtube.com/watch?v=LlXFrwRBozc

 

 ΔBCY and  ΔACX  are similar.             Let CX be an N  (CY = 2N)

 

N / 4 = 18 / 2N

 

N * 2N = 18 * 4

 

2N2 = 72

 

N = 6

 

XY = 3 * N = 18

 

AB = sqrt [ (XY)2 + (BY - AX)2 ]  indecision

Dragan  Jun 20, 2020
edited by Guest  Jun 20, 2020
edited by Guest  Jun 20, 2020
 #3
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thank you so much! the youtube video was pretty helpful :)

Guest Jun 21, 2020

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