https://file.aiquickdraw.com/mathbot/file/172731631355521brxdmv.jpg

The image shows a right triangle with the following dimensions:

- One leg measures 3 meters,
- The other leg measures 5 meters,
- The hypotenuse measures 6.6 meters.

The question asks for (a) the perimeter and (b) the area of the figure.

### (a) Perimeter:
The perimeter of a triangle is the sum of the lengths of its sides:
\[
\text{Perimeter} = 3 \, \text{m} + 5 \, \text{m} + 6.6 \, \text{m} = 14.6 \, \text{m}
\]

### (b) Area:
The area of a right triangle is given by the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Here, the base is 5 meters and the height is 3 meters:
\[
\text{Area} = \frac{1}{2} \times 5 \, \text{m} \times 3 \, \text{m} = 7.5 \, \text{m}^2
\]

### Final answers:
- The perimeter is **14.6 meters**.
- The area is **7.5 square meters**.

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

Here are 5 related questions you might find useful:
1. How do you calculate the hypotenuse of a right triangle if only the legs are known?
2. How is the perimeter formula applied to other polygons?
3. What are some applications of the Pythagorean theorem in real-world problems?
4. How does the formula for the area of a triangle change for different types of triangles?
5. Can you find the perimeter and area of a triangle using trigonometry?

**Tip:** When dealing with right triangles, the Pythagorean theorem is very useful to find missing side lengths.

Use appropriate formulas to find (a) the perimeter and (b) the area of the figure. The triangle has legs of 3 meters and 5 meters, with a hypotenuse of 6.6 meters.

Learn how to find the perimeter and area of a right triangle with side lengths of 3 meters, 5 meters, and 6.6 meters. This guide includes the use of basic geometric formulas, such as the perimeter and area of a right triangle, and the Pythagorean theorem. Suitable for students in Grades 6-8.

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