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Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81

Sagot :

Batolisisidn

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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S2009605idn

Answer:

B

Explanation:

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