Respuesta :
The expression which shows the possible length of segment AB shows 27 < AB < 81.
Based on the diagram, the expression which shows the possible length of segment AB shows that 27 < AB < 81
A triangle that does not have equal sides and angles is known as a scalene triangle.
From the figure attached below, let's have a triangle ABC by using the parameter in the instructions given.
side |AC| = 27
side |CB| = 54
side |AB| = ???
We can use the Pythagoras rule to determine the side |AB|.
Pythagoras' rule states that the sum of the hypotenuse squared is equal to both the sum of the opposite squared and adjacent squared.
What is the Pythagoras' rule?
hyp² = opp² + adj²
AC² = AB² + CB²
54² = AB² + 27²
[tex]AB^2=54^2-27^2\\AB^2=2187\\AB=\sqrt{2187} \\AB=47[/tex]
AB = 47
Therefore, we can conclude that the expression which shows the possible length of segment AB shows 27 < AB < 81.
Learn more about triangles here:
brainly.com/question/12852445
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