## anonymous 5 years ago The area of a square is 625 cm^2. What is the measure of the diagonal to the nearest tenth?

1. anonymous

if the area of a square is 625 cm2, what is its side?

2. anonymous

It doesn't say

3. anonymous

The Sides, since its a square, are all the same. Thus The length, a, and the width,b, are equal to each other a=b. Then you utilize the Pythagorean Theorem, $a^{2}+b ^{2}=c ^{2}$ Where a and b are the sides and c is the hypotenuse. Sides are, $625cm^2 = a^2, a=\sqrt{625}cm$ $\sqrt{625}^2 + \sqrt{625}^2 = c^2$ C = 35.36