https://file.aiquickdraw.com/mathbot/file/1726752602305k6j43a9t.jpg

To solve the problem of finding the area of the given triangle, we can use the following method.

### Approach:
1. The image shows a triangle, which forms part of a rectangle. The key dimensions provided are:
   - The full base of the rectangle is 15 cm.
   - The triangle's specific base section is 7 cm.
   - The triangle's height is 6 cm.

2. The area of a triangle is given by the formula:

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

### Using the dimensions from the image:
- **Base of the triangle** = 7 cm
- **Height of the triangle** = 6 cm

\[
\text{Area} = \frac{1}{2} \times 7 \, \text{cm} \times 6 \, \text{cm} = \frac{1}{2} \times 42 \, \text{cm}^2 = 21 \, \text{cm}^2
\]

Thus, the area of the triangle is **21 cm²**.

Would you like further clarification or additional details on this? 

Here are 5 related questions for practice:
1. How do you calculate the area of a triangle given the three sides using Heron's formula?
2. What is the formula for the area of a triangle when you are given two sides and the included angle?
3. How does the Pythagorean theorem apply to right-angled triangles?
4. Can you determine the perimeter of this triangle given all its sides?
5. What is the formula to find the area of a triangle when only its height and the hypotenuse are given?

**Tip:** When working with triangles, always ensure you identify the base and height correctly before applying the area formula.

Work out the area of the triangle below with a base of 7 cm and height of 6 cm.

Learn how to calculate the area of a triangle with a base of 7 cm and a height of 6 cm using the formula (1/2) × base × height. This step-by-step guide explains the geometry concepts and provides an easy-to-follow solution. Ideal for students in Grades 6-8.

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