SOLUTION: sir, find the length of a side of a square, given the following lengths of the diagonal: 1) 16 2) 20 3) 4 square root of 2 pls help me bec, i dont really understand...

Algebra ->  Triangles -> SOLUTION: sir, find the length of a side of a square, given the following lengths of the diagonal: 1) 16 2) 20 3) 4 square root of 2 pls help me bec, i dont really understand...       Log On


   

Question 49041This question is from textbook
: sir, find the length of a side of a square, given the following lengths of the diagonal:
1) 16
2) 20
3) 4 square root of 2
pls help me bec, i dont really understand...
 This question is from textbook

Found 2 solutions by venugopalramana, Nate:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
sir, find the length of a side of a square, given the following lengths of the diagonal:
OK FORMULA FOR A SQUARE FROM PYTHOGARUS THEOREM IS.......DIAGONAL=SIDE*SQRT(2)
SO SIDE =DIAGONAL/SQRT(2)=DIAGONAL*SQRT(2)/2=0.717*DIAGONAL
1) 16..............SIDE =0.717*16=11.472...ETC..DO THE SAME WAY FOR OTHERS
2) 20
3) 4 square root of 2
pls help me bec, i dont really understand...

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
In a square, side 'a' is equal to side 'b' .... a+=+b
For Pythagorus Theorm:
a%5E2+%2B+b%5E2+=+c%5E2
a%5E2+%2B+a%5E2+=+c%5E2
2a%5E2+=+c%5E2
a+=+sqrt%28%28c%5E2%29%2F2%29
1) 16
a+=+sqrt%28%2816%5E2%29%2F2%29
a+=+16%2Asqrt%281%2F2%29
2) 20
a+=+sqrt%28%2820%5E2%29%2F2%29
a+=+20%2Asqrt%281%2F2%29
3) 4%2Asqrt%282%29
a+=+sqrt%28%284%2Asqrt%282%29%29%5E2%2F2%29
a+=+sqrt%2832%2F2%29+=+sqrt%2816%29+=+4