Seth wants to make a table where the diagonal measures to be 2√12 inches. What must the sides be cut out to so that Seth makes a square table?

Respuesta :

Answer:

[tex]2\sqrt{6}\ in[/tex]

Step-by-step explanation:

we know that

In a square, the measure of a diagonal is given by the formula

[tex]D=b\sqrt{2}[/tex]

where

D is the diagonal

b is the length side of the square

we have

[tex]D=2\sqrt{12}\ in[/tex]

substitute in the formula

[tex]2\sqrt{12}=b\sqrt{2}[/tex]

solve for b

simplify

[tex]b=2\sqrt{6}\ in[/tex]