Find the area of the triangle below. Be sure to include the correct unit in your an...

Check the final answer first, then review the worked steps.

Answer

\(84 ft^2\)

Step-by-step solution

1. Identify the base and height: The image shows a right-angled triangle. The sides forming the right angle are the base and height. In this case, the base is $24$ ft and the height is $7$ ft. The side with length $25$ ft is the hypotenuse and is not needed to calculate the area.
2. Recall the formula for the area of a triangle: The area of a triangle is given by the formula $A = \frac{1}{2} \times \text{base} \times \text{height}$.
3. Substitute the values into the formula: Substitute the base ($24$ ft) and height ($7$ ft) into the area formula: $A = \frac{1}{2} \times 24 \text{ ft} \times 7 \text{ ft}$.
4. Calculate the area: $A = \frac{1}{2} \times 168 \text{ ft}^2$
$A = 84 \text{ ft}^2$.