Question

The area of a square is 72m^2. How long is the diagonal?

Answer 1

`12` m

Explanation:

The side length of a square with area `72m^2` is the square root of that.
`sqrt(72m^2)~~8.485m`
You then have a right triangle where both legs have a length of `sqrt(72)` and the hypotenuse is your square's diagonal. Using Pythagorean Theorem (`a^2+b^2=c^2`) we can say `sqrt(72)^2+sqrt(72)^2=c^2`
Then solve for c.
`72+72=c^2`
`144=c^2`
`12=c`