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.
where;
- 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.
hyp² = opp² + adj²
AC² = AB² + CB²
54² = AB² + 27²
[tex]\mathbf{AB^2 = 54^2 - 27^2}[/tex]
[tex]\mathbf{AB^2 = 2187}[/tex]
[tex]\mathbf{AB =\sqrt{ 2187}}[/tex]
AB = 47
Therefore, we can conclude that the expression which shows the possible length of segment AB shows that 27 < AB < 81.
Learn more about triangles here:
https://brainly.com/question/12852445
