Question

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

Answer 1

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

Answer 2

B.
`5√(2)`

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=√(50)`

Simplify the radical

`c=√(25*2) \\c=5√(2)`

I hope this helps!