Question

What is the length of the diagonal of the square shown below?

Answer 1

Answer:

option (B) is correct ......

Answer 2

Answer:

B. $5\sqrt{2}$

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: $a^2+b^2=c^2$ 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.

$a^2+b^2=c^2$

Plug in the known values

$5^2+5^2=c^2\\25+25=c^2\\50=c^2\\c=\sqrt{50}$

Simplify the radical

$c=\sqrt{25*2} \\c=5\sqrt{2}$

I hope this helps!