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

$\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$

From the image:

• Base = 5 cm
• Height = 9.2 cm

Now, let's calculate the area:

$\text{Area} = \frac{1}{2} \times 5 \, \text{cm} \times 9.2 \, \text{cm}$ $\text{Area} = \frac{1}{2} \times 46 \, \text{cm}^2$ $\text{Area} = 23 \, \text{cm}^2$

Therefore, the area of the triangle is 23 cm².

Let me know if you have any questions or need further clarification!

Follow-up questions:

1. What is the general formula for the area of any triangle?
2. How does the formula change if the base and height are given in different units?
3. What is the perimeter of this triangle if you know its third side?
4. Can you calculate the area if only two sides and the angle between them are known?
5. What is the area of a triangle in terms of its sides (Heron's formula)?

Tip:

Always ensure that the base and height are perpendicular to each other when using this formula for area.