SOLUTION: The side of one square is equal to 1 meter, and its diagonal is equal to the side of a second square. Find the diagonal of the second square. Include formal proof as well!!

Algebra ->  Rectangles -> SOLUTION: The side of one square is equal to 1 meter, and its diagonal is equal to the side of a second square. Find the diagonal of the second square. Include formal proof as well!!      Log On


   

Question 1028625: The side of one square is equal to 1 meter, and its diagonal is equal to the side of a second square. Find the diagonal of the second square.
Include formal proof as well!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of the first square (using Pythaorean theorem),
S%5B1%5D%5E2%2BS%5B1%5D%5E2=D%5B1%5D%5E2
D%5B1%5D=sqrt%282%29%2AS%5B1%5D
D%5B1%5D=sqrt%282%29
S%5B2%5D=sqrt%282%29
.
.
D%5B2%5D=sqrt%282%29%2AS%5B2%5D
D%5B2%5D=sqrt%282%29%2Asqrt%282%29
D%5B2%5D=2