SOLUTION: Consecutive bases of a square-shaped baseball diamond are 90 feet apart. Find the exact distance from first base diagonally across the diamond to third base. Then approximate thi

Algebra ->  Pythagorean-theorem -> SOLUTION: Consecutive bases of a square-shaped baseball diamond are 90 feet apart. Find the exact distance from first base diagonally across the diamond to third base. Then approximate thi      Log On


   

Question 186552: Consecutive bases of a square-shaped baseball diamond are 90 feet apart. Find the exact distance from first base diagonally across the diamond to third base. Then approximate this distance.
So far I tried:
90 squared + 90 squared = c squared
8100 + 8100 = c squared
16200 = c squared
when taken by the square root I get
9 square root of 2 = c
approximate distance is 34 feet
Found 2 solutions by checkley77, vleith:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
90^2+90^2=x^2
8100+8100=x^2
x^2=16,200
x=sqrt16,200
x=127.28 ft. is the distance between first & third base.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
oops, dropped an order of magnitude.
16200+=+c%5E2
sqrt%2816200%29+=+c
127.3+=+c
which is 90%2Asqrt%282%29 not 9+%2A+sqrt%282%29