The breadth of a rectangle is $5 \mathrm{cm}$ and each of the diagonal measures $13 \mathrm{cm}$. If the length is $k cm$. Find the value of $k$.

In the figure, $TRUE$ is a rectangle whose diagonals meet at $O$. Find $x$, if $OR=3x+2$ and $OT=4x-3$.

In the given rectangle $ABCD$, $BP=BC$. What is the measure of $\angle PCD$?

In figure, $PQRS$ is a rectangle and its diagonal $PR$ and $QS$ intersects at $O$. If $\angle POQ=110°$, find the measure of $\angle ORS$.

In the figure, $ABCD$ is the rectangle. Its diagonals $AC$ and $BD$ intersect each other at $O$. $AC$ is produced to $E$ such that $\angle ECD=140°$. Find the measure of the angle of $△AOB$.