Question

yadi kisi bahubhuj ke vikarno ki sankhya 54 ho to Uske bhujao ki sankhya Kya Hogi​

Answer 1

For a diagonal with n sides there are ^{n} c_{2} - n diagonals

1) no of diagonals is 54

^{n} c_{2} - n=54

n(n-1)/2 -n=54

(n²-n-2n)/2=54

n²-3n-108=0

n²-12n+9n-108=0

n(n-12)+9(n-12)=0

(n-12)(n+9)=0

N=12 or N=-9

N=12