https://file.aiquickdraw.com/mathbot/file/1728876714141gh4iqsuq.jpg

The image shows a right triangle with side lengths of 11.6 meters, 14.2 meters, and a base of 13.7 meters. It also has a height of 5.8 meters relative to the base, and the area of the triangle is given as 39.73 m².

### Explanation:
To find the area of a triangle, you can use the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case:
- The base = 13.7 m
- The height = 5.8 m

Now applying the formula:
\[
\text{Area} = \frac{1}{2} \times 13.7 \times 5.8 = 39.73 \, \text{m}^2
\]
This matches the given result.

### Would you like more details on how this formula works or why the triangle's height is relevant?

Here are 5 related questions for further exploration:
1. How do you find the height in non-right triangles if not directly given?
2. What is the significance of the Pythagorean theorem in solving triangles?
3. How would you calculate the perimeter of this triangle?
4. How does the area formula change for other types of triangles (like equilateral triangles)?
5. What happens if the base and height of a triangle are the same?

**Tip:** Always ensure that the height used in the area formula is perpendicular to the base, as this is a common mistake in geometry.

Given a triangle with sides 11.6 m, 14.2 m, and base 13.7 m, and a height of 5.8 m perpendicular to the base, find the area of the triangle.

Learn how to calculate the area of a right triangle with sides 11.6 m, 14.2 m, base 13.7 m, and height 5.8 m. Step-by-step solution provided with the triangle area formula. Ideal for students in Grades 6-8.

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