Question

The side of a square is 8√2 what will be its diagonal


Answer ASAP​

Answer 1

16

Explanation:

You can use the pythagorean theorem:

`a^(2)+b^(2)=c^(2)`, here seeing as we know already know two sides here as all sides are congruent with squares and there has to be right angles for it to be a square we can do so by cutting the square in half for the diagonal and to get a right triangle.

And from there we just use it:

`8√(2)^(2) + 8√(2)^(2) = c^(2)`

`√(128)^(2) + √(128)^(2) = c^(2)`

`128 + 128 = c^2`

`256 = c^2`

`√(c)^2 = √(256)`

`c = 16`

Meaning that the diagonal is 16.