Respuesta :

Given:

Given that a basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide.

We need to determine the length of the diagonal to the court.

Length of the diagonal:

The length of the diagonal can be determined using the Pythagorean theorem.

Thus, we have;

[tex]d^2=l^2+w^2[/tex]

where d is the diagonal, l is the length and w is the width of the rectangle.

Substituting the values, we have;

[tex]d^2=94^2+50^2[/tex]

[tex]d^2=8836+2500[/tex]

[tex]d^2=11336[/tex]

[tex]d=\sqrt{11336}[/tex]

[tex]d=106.5[/tex]

Thus, the length of the diagonal of the court is 106.5 feet.

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