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they form a figure with a long side of 12f and a short side of 9f what is the diagonal of the figure be to make sure the base of his tree house is a rectangle

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MrRoyalidn

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

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