Based on the calculations, the magnitude of side DZ is equal to 4 units.
How to calculate the magnitude of DZ?
From the diagram, we can deduce that CD is parallel to XZ and as such, triangle XYZ is similar to Triangle YCD. Thus, the ratio of their corresponding side lengths are equal.
By applying the similarity condition, we have:
XY/CY = ZY/YD
(XC + CY)/CY = (DZ + DY)/DY
Substituting the given parameters into the formula, we have;
(5 + 25)/25 = (DZ + 20)/20
30/25 = (DZ + 20)/20
600 = 25DZ + 500
25DZ = 600 - 500
25DZ = 100
DZ = 100/25
DZ = 4 units.
Read more on similarity condition here: https://brainly.com/question/2459140
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