Question
In triangle XYZ, UV is drawn parallel to side YZ. If XU =
10 cm, UX = 6 cm, and XV = 15 cm, find XZ.Solution
ATQ,
If a line is drawn parallel to one side of a triangle, it divides the other sides proportionally.
(XU / UX) = (XV / VZ)
=> (10 / 6) = (15 / VZ)
=> VZ = (15 × 6) / 10 = 9 cm
So, XZ = XV + VZ = 15 + 9 = 24 cm
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