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Sagot :
The option that expresses all possible lengths of segment AB is : ( B ) 27 < AB < 81
Given that all sides of the triangles are not the same to determine the length of segment AB
Analysis of the solution
we will apply the Pythagoras's theorem
hypotenuse² = opposite² + adjacent²
Given that hypotenuse is the longest side in right angled triangle
CB² = AC² + AB²
54² = 27² + AB²
therefore : AB = [tex]\sqrt{54^2 -27^2}[/tex]
Hence we can conclude that 27 < AB < 81 is the correct answer
Learn more about right angled triangle : https://brainly.com/question/18452950
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