9514 1404 393
Answer:
n = √108
Step-by-step explanation:
The triangles in the figure are all similar, so corresponding sides have the same ratio.
long side/short side = n/6 = 18/n
n² = 6·18 = 108
n = √108
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Additional comment
The same is true for other side relationships.
hypotenuse/short side = m/6 = (6+18)/m
m² = 6(24) = 144
m = √144 = 12
