Find the length of the side and perimeters of an equilateral triangle whose height is $\sqrt{3}\mathrm{cm}$.

Identify, with reason, the given numbers is Pythagorean triplets or not.

$(3,5,4)$

Identify, with reason, the given numbers is Pythagorean triplets or not.

$\left(4, 9, 12\right)$

Identify, with reason, the given numbers are Pythagorean triplets or not

$\left(5, 12, 13\right)$

Identify, with reason, the given numbers are Pythagorean triplets or not

$\left(24, 70, 74\right)$

Identify, with reason, the given numbers are Pythagorean triplets or not

$(10,24,27)$

Identify, with reason, the given numbers are Pythagorean triplets or not

$\left(11, 60, 61\right)$

In the given figure $\angle \mathrm{MNP}=90°$ 

Seg  $\mathrm{NQ}\perp seg\mathrm{MP},\mathrm{MQ}=9$
$\mathrm{QP}=4,$ find $\mathrm{NQ}$