In $\Delta ABC$,$\angle B = 90^{\circ}$,$AB = 14 \, cm$ and $AC = 50 \, cm$,then find the area of $\Delta ABC$ in $cm^2$.

In $\Delta XYZ$,$XY = XZ$ and $\angle X = 80^{\circ}$,then $\angle Y = \ldots$ (in $^{\circ}$)

State whether the following statement is True or False and give reasons for your answer.
$A$ triangle $ABC$ can be constructed in which $\angle B = 105^{\circ}, \angle C = 90^{\circ}$ and $AB + BC + AC = 10 \, cm$.

In $\Delta PQR$,$PQ = PR$ and $\angle R = 40^{\circ}$,then $\angle P = \dots$ (in $^{\circ}$)

If in $\Delta XYZ$,$\angle Y > \angle X > \angle Z$,then find the smallest side of the triangle.

Write the measures of its sides in ascending order in each of the following triangles:
$(1) \text{In } \Delta ABC, \angle A = 50^{\circ} \text{ and } \angle B = 60^{\circ}$