SOLUTION: The length of a diagonal of a square is given. Find the length of a side of the square. Find the following answers: 1. Square root of 2 2. 2 3. 20K

Algebra ->  Pythagorean-theorem -> SOLUTION: The length of a diagonal of a square is given. Find the length of a side of the square. Find the following answers: 1. Square root of 2 2. 2 3. 20K      Log On


   

Question 424030: The length of a diagonal of a square is given. Find the length of a side of the square. Find the following answers:
1. Square root of 2
2. 2
3. 20K
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If s is the side of a square, and d is
the diagonal, then
+s%5E2+%2B+s%5E2+=+d%5E2+
+2s%5E2+=+d%5E2+
+s%5E2+=+d%5E2%2F2+
+s+=+d%2Fsqrt%282%29+
---------------
(1)
+d+=+sqrt%282%29+
and
+s+=+sqrt%282%29%2Fsqrt%282%29+
and
+s+=+1+
--------
(2)
+d+=+2+
+s+=+2%2Fsqrt%282%29+
+s+=+sqrt%282%29+
--------------
(3)
+d++=+20000+
+s+=+20000%2Fsqrt%282%29+
Multiply top and bottom by sqrt%282%29+
s+=+20000%2Asqr%282%29+%2F+2+
s+=+10000%2Asqrt%282%29+