SOLUTION: The Length of one side of a square is 13.5 centermeters. Find the length of a diagonal of the square.

Algebra.Com
Question 559960: The Length of one side of a square is 13.5 centermeters. Find the length of a diagonal of the square.

Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
The diagonal forms a triangle with two of the sides.
You can either use the rules for a 45-45-90 triangle (which this will create) or you can use the Pythagorean theorem (where the rules for the 45-45-90 triangle comes from).
So Pythagorean theorem is but in this case a=b since all the sides of a square are the same. So we have which is


Which is the rule for a 45-45-90 triangle. If the two sides are x then the hypotenuse is
So we have So the answer will be around 19.09

RELATED QUESTIONS

If the diagonal of a square is 5 inches, find the length of one... (answered by checkley77)
The length of one side of a square is 17 meters. Find the length of a diagonal of the... (answered by NancyLam)
The length of one side of a square is 13 feet. What is the length, to the nearest foot,... (answered by nerdybill)
Find the length of the diagonal of a square whose side length is 4cm (answered by ikleyn)
Find the length of the side of a square if the length of the diagonal 10. (answered by nerdybill)
1. a diagonal of a square has length of 8. Find the length of a side. (answered by fractalier)
Find the length of a side of a square if the diagonal is 12 units long. (answered by macston)
A square has a side length of 16 meters. Find the length of the diagonal (answered by Boreal)
find the length of a side of a square whose diagonal is 10in... (answered by richwmiller)