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Susan is attempting to construct a square table with each side length equaling three feet. To check her work, Susan measures the diagonal of the square when she is finished constructing the table. What should the diagonal be if the side lengths are indeed three feet?

Respuesta :

The diagonal should be 3 feet

Answer:

The diagonal should be 4.24 feet if the side lengths are indeed three feet.

Step-by-step explanation:

Susan is attempting to construct a square table with each side length equaling three feet.

This question is based on Pythagoras theorem.

We have the sides of the right triangle as 3 feet by 3 feet and we have to find the diagonal or hypotenuse.

Let the hypotenuse be = x

We get;

[tex]3^{2} +3^{2} =x^{2}[/tex]

=> [tex]9+9=x^{2}[/tex]

=>  [tex]18=x^{2}[/tex]

x = √18 = 3√2= 4.24 feet

Hence, the diagonal should be 4.24 feet if the side lengths are indeed three feet.