Answer:
B. [tex]5\sqrt{2}[/tex]
Step-by-step explanation:
Hi there!
Notice how the diagonal splits the square into two right triangles. To find the length of the diagonal, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs of a right triangle and c is the hypotenuse, or the side opposite the right angle.
In this case, a is 5, b is 5 and we're trying to solve for c.
[tex]a^2+b^2=c^2[/tex]
Plug in the known values
[tex]5^2+5^2=c^2\\25+25=c^2\\50=c^2\\c=\sqrt{50}[/tex]
Simplify the radical
[tex]c=\sqrt{25*2} \\c=5\sqrt{2}[/tex]
I hope this helps!
