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In the diagram, triangle ABE, triangle BCE and triangle CDE are right-angled, with angle AEB=angle BEC = angle CED = 60 degrees and AE = 36.  Find CD.

 

 Nov 2, 2020
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These 3 triangles are similar. 

 

All three triangles are 30-60-90 which means that the length of a short leg is half of a hypotenuse.

 

ED = 36 / 23 = 4.5

 

CD = 4.5 * tan(60) = 7.794228634

 Nov 2, 2020

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