Find the area AND perimeter. 28.6 ft 26.4 ft
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![### Geometry: Finding the Area and Perimeter of a Right Triangle
#### Problem Statement:
**Find the area AND perimeter.**
![Right Triangle]
#### Given:
- Length of one leg: 28.6 ft
- Length of the other leg: 26.4 ft
#### Diagram:
The diagram shows a right triangle with the two given legs forming the right angle.
### Steps to Solve:
#### Step 1: Calculate the Area
For a right triangle, the area can be found using the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Here, the base is 28.6 ft and the height is 26.4 ft.
So,
\[ \text{Area} = \frac{1}{2} \times 28.6 \, \text{ft} \times 26.4 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 754.24 \, \text{ft}^2 \]
\[ \text{Area} = 377.12 \, \text{ft}^2 \]
#### Step 2: Calculate the Hypotenuse
The hypotenuse of a right triangle can be found using the Pythagorean theorem:
\[ \text{Hypotenuse} = \sqrt{(\text{base})^2 + (\text{height})^2} \]
So,
\[ \text{Hypotenuse} = \sqrt{(28.6 \, \text{ft})^2 + (26.4 \, \text{ft})^2} \]
\[ \text{Hypotenuse} = \sqrt{817.96 + 696.96} \]
\[ \text{Hypotenuse} = \sqrt{1514.92} \]
\[ \text{Hypotenuse} \approx 38.92 \, \text{ft} \]
#### Step 3: Calculate the Perimeter
The perimeter of the triangle is the sum of all its sides:
\[ \text{Perimeter} = \text{base} + \text{height} + \text{hypotenuse} \]
\[ \text{Perimeter} = 28.6 \, \text{ft} + 26.4 \, \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32805f37-21e8-4771-967e-6701bc46a1c5%2F5c2229a9-79d9-4745-aff7-65dbdff5d218%2F6ewq79_processed.jpeg&w=3840&q=75)
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