Final answer:
The length of the diagonal of a square with an area of 50cm² is 10cm.
Step-by-step explanation:
To find the length of the diagonal of a square, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of one side of the square is given as √50 cm. Let's call the length of the diagonal D.
Using the Pythagorean theorem, we have D^2 = (√50)^2 + (√50)^2 = 50 + 50 = 100
Taking the square root of both sides, we find that D = √100 = 10 cm.