State whether the following statement is True or False and justify your answer:
The area of $\Delta ABC$ is $8 \, cm^2$ in which $AB = AC = 4 \, cm$ and $\angle A = 90^{\circ}$.

(TRUE) Given that $\Delta ABC$ is a right-angled triangle with $\angle A = 90^{\circ}$,$AB = 4 \, cm$,and $AC = 4 \, cm$.
The area of a right-angled triangle is given by the formula:
Area $= \frac{1}{2} \times \text{base} \times \text{height}$
Here,we can take $AC$ as the base and $AB$ as the height.
Area $= \frac{1}{2} \times 4 \, cm \times 4 \, cm$
Area $= \frac{1}{2} \times 16 \, cm^2 = 8 \, cm^2$
Since the calculated area is $8 \, cm^2$,the given statement is True.