Respuesta :

Question:

Solution:

Notice that the angle between the sides of the square is 90 degrees:

Therefore, the angle of the vertex of the triangle measures 45 degrees:

thus, we obtain the following right triangle:

Now, apply the following trigonometric identity:

[tex]\cos \text{ (45) = }\frac{s}{5\sqrt[]{2}}[/tex]

solving for s, we get:

[tex]s\text{ = cos(45) . 5 }\sqrt[]{2}\text{ = 5}[/tex]

then, we can conclude that the correct answer is:

[tex]s\text{ = 5}[/tex]

Ver imagen HarleyquinnQ294882
Ver imagen HarleyquinnQ294882
Ver imagen HarleyquinnQ294882
Ver imagen HarleyquinnQ294882