EXERCISE

In rhombus $PURE$, $PE=3x \mathrm{cm}$ and $PU=2\left(x+3\right) \mathrm{cm}$. Find the length of each side of the rhombus.

$SAFE$ is a rhombus, as shown in figure. Find $x, y$ and $z$. Justify your findings.

$ABCD$ is a rhombus whose diagonals intersect at $O$. If $AB=10 \mathrm{cm}$, diagonal $BD=16 \mathrm{cm}$. Find the length of the diagonal $AC$.

In figure, $ABCD$ is a rhombus whose diagonals $AC$ and $BD$ intersect at $O$. If $\angle OAB:\angle OBA=3:2$, find the measure of all the angles of $△COD$.

One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus.

In figure, $ABCD$ is a rhombus in which $\angle ABD=40°$. Find $\angle BAC$.

In the figure, $ABCD$ is a rhombus in which $\angle ABD=40°$. Find $\angle BCD$.

In figure, $ABCD$ is a rhombus in which $\angle ABD=40°$. If $\angle ADC=x°$, find the value of $x$.