SOLUTION: find the length of a side of a square,given the following lenths of a diagonal 10

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Question 213090: find the length of a side of a square,given the following lenths of a diagonal 10





Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of a side of a square, given the following lengths of a diagonal 10

Step 1. Use the Pythagorean Theorem: Sum of the squares of the sides equals to the square of the hypotenuse. In this case the diagonal is the hypotenuse.

Step 2. Let s be the side of the square and let d be the diagonal of length 10.

Step 3. So the equation is the following and is solved as follows.

d%5E2+=+s%5E2%2Bs%5E2

d%5E2=2s%5E2

d=sqrt%282s%5E2%29

d=s%2Asqrt%282%29

d%2Fsqrt%282%29=s%2Asqrt%282%29%2Fsqrt%282%29

s=d%2Fsqrt%282%29

s=10%2Fsqrt%282%29

s=7.071

Step 2. The side of the square has length 7.071.


I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J