https://file.aiquickdraw.com/mathbot/file/1726664334562txzc5nzb.jpg

The triangle in the image is a right-angled triangle with a base of 15 meters and a height of 9 meters. The hypotenuse is 17 meters, but we don't need that to calculate the area.

The formula for the area of a triangle is:

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

Substituting the values:

\[
\text{Area} = \frac{1}{2} \times 15 \times 9 = \frac{1}{2} \times 135 = 67.5 \, \text{square meters}
\]

Thus, the area of the triangle is **67.5 square meters**.

Would you like more details on the solution or have any further questions?

Here are 5 related questions to explore further:
1. What is the perimeter of the triangle?
2. How would the area change if the base were 20 meters instead?
3. How can we verify if the triangle follows the Pythagorean theorem?
4. What is the length of the hypotenuse in a triangle with a base of 12m and height of 5m?
5. How would you calculate the area of an equilateral triangle?

**Tip:** When solving right-angled triangle problems, the Pythagorean theorem can help confirm that the triangle's dimensions are accurate.

Learn how to find the area of a right-angled triangle with a base of 15m and a height of 9m. This step-by-step solution covers geometry concepts, such as the area formula for triangles. Suitable for students in Grades 6-8.

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