In the below figure, the measures of some angles are indicated. Find the value of $x$.

   

In the given figure, $O$ is any point in the interior of $△PQR$. Is $OP+OQ>PQ$?

In the given figure, $O$ is any point in the interior of $△PQR$. Is $OQ+OR>QR$ $?$

In the given figure, $O$ is any point in the interior of $△PQR$. Is $OR+OP>PR$ $?$

$O$ is a point in the exterior of $△ABC$. What symbol $\text{'}>\text{'}, \text{'}=\text{'},$ or $\text{'}<\text{'}$ will you use to complete the statement $OA+OB.....AB?$ Write two similar statements and show that:

$OA+OB+OC>\frac{1}{2}\left(AB+BC+CA\right)$

Which of the following can be the sides of a right triangle ? 

$6 \mathrm{cm}, 8 \mathrm{cm}, 10 \mathrm{cm}$