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The triangle shown is a right-angled triangle, with the base \( b = 5 \, \text{cm} \) and the height \( h = 4 \, \text{cm} \).

The formula for the area \( A \) of a triangle is:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

Substituting the given values:

\[
A = \frac{1}{2} \times 5 \, \text{cm} \times 4 \, \text{cm} = \frac{1}{2} \times 20 \, \text{cm}^2 = 10 \, \text{cm}^2
\]

So, the area of the triangle is:

\[
\boxed{10 \, \text{cm}^2}
\]

Would you like a detailed explanation or have any questions?

Here are 5 related questions you might be interested in:
1. How does the formula for the area of a triangle work in non-right triangles?
2. What is the area of a triangle with base 7 cm and height 6 cm?
3. Can you calculate the area of a triangle using trigonometry?
4. How would you calculate the area of a triangle if only the sides are given?
5. What is the relationship between the perimeter and area of a triangle?

**Tip:** Always remember to check if a triangle is a right triangle as it simplifies area calculations!

Find the area of the triangle below. Give your answer in cm².

Learn how to calculate the area of a right-angled triangle with a base of 5 cm and a height of 4 cm. This problem uses the area of a triangle formula, suitable for students in Grades 6-8.

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