Angles $B$ and $C$ of a $∆ABC$ are $30°$ and $60°$ respectively. State which of the following is/are 'True'.

$A{C}^2+B{C}^2=A{B}^2$

In the given figure, $ABC$ is an isosceles triangle in which $AC=BC$ and $AD=BD$. Which of the following is correct about $CD$?

In the given figure, if $\angle ACD=\frac{5}{6}$ of a straight angle, the value of $x$ is

In the given figure, if $\angle CDE=\angle DEC$, then $\angle AED=$?

Which of the following can be the possible lengths (in $\mathrm{cm}$) of a triangle?

In the figure, $ABC$ is a right triangle right-angled at $B$. The length of $AC$ is

A person goes $12 \mathrm{m}$ due east and then $5 \mathrm{m}$ due north. The distance from the starting point is

In the given figure, $ABCD$ is a rhombus in which $AC=16 \mathrm{cm}$ and $BD=12 \mathrm{cm}$. The perimeter of the rhombus is