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The diagonal of a rectangular figure is an illustration of Pythagoras theorem
The diagonal of the figure is 15f
The given parameters are:
[tex]\mathbf{Long= 12f}[/tex]
[tex]\mathbf{Short= 9f}[/tex]
The diagonal is calculated using, the following Pythagoras theorem
[tex]\mathbf{Diagonal = \sqrt{Long^2 + Short^2}}[/tex]
So, we have:
[tex]\mathbf{Diagonal = \sqrt{(12f)^2 + (9f)^2}}[/tex]
Evaluate all squares
[tex]\mathbf{Diagonal = \sqrt{144f^2 + 81f^2}}[/tex]
Evaluate like terms
[tex]\mathbf{Diagonal = \sqrt{225f^2}}[/tex]
Take square roots
[tex]\mathbf{Diagonal = 15f}[/tex]
Hence, the diagonal of the figure is 15f
Read more about diagonals at:
https://brainly.com/question/18983839