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.
Problem
Find the area of the triangle below. Be sure to include the correct unit in your answer.
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: $A = \frac{1}{2} \times 168 \text{ ft}^2$
$A = 84 \text{ ft}^2$.