SOLUTION: We cannot figure out this problem which is part of a Pythagarian Theorum worksheet: The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second bas

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Question 77289: We cannot figure out this problem which is part of a Pythagarian Theorum worksheet:
The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base? I keep coming up with 180 feet, but that seems to easy...

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We simply have a triangle with legs of 90 ft. So to find the hypotenuse we use Pythagorean's theorem:

a%5E2%2Bb%5E2=c%5E2 where a=90 and b=90
90%5E2%2B90%5E2=c%5E2
8100%2B8100=c%5E2
16200=c%5E2
sqrt%2816200%29=sqrt%28c%5E2%29
c=127.279
So the distance from home plate to 2nd base is 127.279 ft

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The baseball "diamond" is constructed in the shape of a square whose sides are each 90 feet.
To find the length of the "diagonal" (distance from home plate to second base), use the pythagorean theorem. The diagonal forms the hypotenuse of a right triangle whose sides are 90 feet.
c%5E2+=+a%5E2%2Bb%5E2 where c = the length of the diagonal.
c+=+sqrt%2890%5E2%2B90%5E2%29
c+=+sqrt%282%2A90%5E2%29 Take the square root of 90%5E2 and move it out from under the radical.
c+=+90sqrt%282%29feet.
c+=+127.3 feet,(approximately).