To find the area of a triangle, we can use the formula:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

From the image, the base of the triangle is $7 \, \text{cm}$ and the height is $24 \, \text{cm}$.

Now, applying the formula:

$\text{Area} = \frac{1}{2} \times 7 \times 24$

Let me calculate that for you.The area of the triangle is $84 \, \text{cm}^2$.

Would you like more details on how this calculation was done or have any further questions?

Here are five related questions to explore this topic further:

1. How do we calculate the perimeter of this triangle?
2. What is the Pythagorean theorem, and how does it apply to this triangle?
3. How would the area change if the height of the triangle was increased by 10%?
4. Can the formula for the area of a triangle be applied to non-right triangles as well?
5. How can we derive the area formula for a triangle?

Tip: When solving for the area of a right triangle, remember that either of the two sides that form the right angle can serve as the base or the height.