SOLUTION: A slow-pitch softball diamond is actually a square. The distance from home plate to 1st base is 65 feet. How far is it from home plate to 2nd base? Give exact answer.

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Question 327902: A slow-pitch softball diamond is actually a square. The distance from home plate to 1st base is 65 feet. How far is it from home plate to 2nd base? Give exact answer.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A slow-pitch softball diamond is actually a square. The distance from home plate to 1st base is 65 feet. How far is it from home plate to 2nd base? Give exact answer.
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Applying Pythagorean theorem:
Let x = distance from home plate to 2nd base
then
+x%5E2+=+65%5E2+%2B+65%5E2+
+x%5E2+=+2%2865%5E2%29+
+x+=+sqrt%282%2865%5E2%29%29+
+x+=+sqrt%282%2A65%2A65%29+
+x+=+65%2Asqrt%282%29+ feet