Write ${43}^2$ as square of $3$ numbers. 

Write the following sum as square of a number without any calculation.

$1+2+3+4+5+4+3+2+1$

Write the following sum as square of a number without any calculation.

$1+2+3+4+5+6+7+6+5+4+3+2+1$

Check whether the following triplet is Pythagorean triplet or not.

$\left(12,35,37\right)$

Check whether the following triplet is Pythagorean triplet or not.

$\left(8, 9, 14\right)$

Check whether the following triplet is Pythagorean triplet or not.

$\left(14, 48, 50\right)$

Check whether the following triplet is Pythagorean triplet or not.

$\left(3,4,5\right)$

Using the identity ${\left(a+b\right)}^2=a^2+b^2+2ab$ or ${\left(a-b\right)}^2=a^2+b^2-2ab$, find the square of the number $99$.

Using the identity ${\left(a+b\right)}^2=a^2+b^2+2ab$ or ${\left(a-b\right)}^2=a^2+b^2-2ab$, find the square of the number $51$.