SOLUTION: the length of the diagonal of a square is 80 inches. find the exact dimensions of the square?

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Question 238446: the length of the diagonal of a square is 80 inches. find the exact dimensions of the square?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
the length of the diagonal of a square is 80 inches. find the exact dimensions of the square?
.
Let x = length of one side
then applying Pythagorean theorem:
x%5E2+%2B+x%5E2+=+80%5E2
2x%5E2+=+6400+
x%5E2+=+3200+
x+=+sqrt%283200%29+
x+=+sqrt%2810%2A10%2A4%2A4%2A2%29+
x+=+%2810%2A4%29sqrt%282%29+
x+=+40sqrt%282%29+
.
Answer: dimension of square:
40sqrt%282%29 inches by 40sqrt%282%29 inches