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

Question

3 years ago

7

his tree house is a rectangle

1 answer:

Minchanka [31] · Answer 1 · 2022-06-02T23:11:02+03:00

The diagonal of a rectangular figure is an illustration of Pythagoras theorem

The diagonal of the figure is 15f

The given parameters are:

$\mathbf{Long= 12f}$

$\mathbf{Short= 9f}$

The diagonal is calculated using, the following Pythagoras theorem

$\mathbf{Diagonal = \sqrt{Long^2 + Short^2}}$

So, we have:

$\mathbf{Diagonal = \sqrt{(12f)^2 + (9f)^2}}$

Evaluate all squares

$\mathbf{Diagonal = \sqrt{144f^2 + 81f^2}}$

Evaluate like terms

$\mathbf{Diagonal = \sqrt{225f^2}}$

Take square roots

$\mathbf{Diagonal = 15f}$

Hence, the diagonal of the figure is 15f