To find the area of the triangle in the image, we can use the standard formula for the area of a triangle:

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

From the image:

• Base ($b$) = 16 feet
• Height ($h$) = 14 feet

Substitute these values into the formula:

$\text{Area} = \frac{1}{2} \times 16 \times 14$

Calculating this:

$\text{Area} = \frac{1}{2} \times 224 = 112 \, \text{square feet}$

Answer:

The area of the triangle is 112 square feet.

Would you like further details or have any other questions?

Here are five related questions to expand your understanding:

1. How would the area change if the base were increased to 20 feet?
2. Can the area of a triangle be calculated without knowing the height?
3. What other methods can be used to find the area of a right triangle?
4. How does the Pythagorean theorem relate to the side lengths of a right triangle?
5. What is the difference between finding the area of a right triangle and an equilateral triangle?

Tip: Always make sure you identify the base and height correctly; they must be perpendicular to each other for calculating the area.