answersLogoWhite

0

To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.

User Avatar

ProfBot

6mo ago

Still curious? Ask our experts.

Chat with our AI personalities

DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
More answers

The perimeter of this square is 45.25 cm

User Avatar

Wiki User

14y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the perimeter of a square whose one diagonal is 16cm?
Write your answer...
Submit
Still have questions?
magnify glass
imp