In $∆\mathrm{ABC}$, if $\angle \mathrm{A}=90°$, which is the longest side?

In $∆\mathrm{ABC}$, if $\angle \mathrm{A}=\angle \mathrm{B}=45°$, name the longest side.

 In $△ABC$, side $AB$ is produced to $D$ such that $BD=BC$. If $\angle A={70}^{\mathrm{o}}$ and $\angle B={60}^{\mathrm{o}}$, prove that $AD>CD$.

 In $△ABC$, side $AB$ is produced to $D$ such that $BD=BC$. If $\angle A={70}^{\mathrm{o}}$ and $\angle B={60}^{\mathrm{o}}$, prove that $AD>AC$.

In the given figure, $\angle B<\angle A$ and $\angle C<\angle D.$ Show that $AD<BC$.

$AB$ and $CD$ are respectively the smallest and largest sides of a quadrilateral $ABCD$. Show that $\angle A>\angle C$ and $\angle B>\angle D$.

In a quadrilateral $ABCD$, show that $(AB+BC+CD+DA)>(AC+BD).$

In a quadrilateral $ABCD,$ show that $(AB+BC+CD+DA)<2 (BD+AC).$