Answer:
c = 18 cm
Explanation:
You want the length of the hypotenuse in the 30-60-90 triangle with a=9 cm and b = 9√3 cm.
Triangle theorem
The 30-60-90 triangle theorem tells you the ratios of side lengths are ...
a : b : c = 1 : √3 : 2
Using a = 9 cm, this tells us that ...
c = 2a = 2(9 cm)
c = 18 cm
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