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.