Practice set 2.1

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 $\mathrm{NQ}$

In the given figure $\angle \mathrm{QPR}=90°$. Seg $\mathrm{PM}\perp seg\mathrm{QR}$ and $\mathrm{Q}-\mathrm{M}-\mathrm{R}$, $\mathrm{PM}=10,\mathrm{QM}=8,\text{ find }\mathrm{QR}$.

 Find $\mathrm{RP}$  and $\mathrm{PS}$ using the information given in$∆PSR .$

For finding $\mathrm{AB}$ and $BC$ with the help of information given in figure complete following activity. 

$\mathrm{AB}=\mathrm{BC}\dots \dots \dots$

$\therefore \angle \mathrm{BAC}=......$

$\therefore AB=BC=....\times AC$

$=....\times \sqrt{8}$

$=....\times 2\sqrt{2}$

Find the side and perimeter of a square whose diagonal is $10\mathrm{cm}$

In the given figure $\angle \mathrm{DFE}=90°$, $\mathrm{FG}\perp \mathrm{ED},\text{ If }\mathrm{GD}=8,\mathrm{FG}=12$. Find  $\mathrm{EG}, \mathrm{FD}$ and $\mathrm{EF}$.