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

1 Answer
Apr 3, 2018

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