Questions: Find the area of a triangle with a side length of 2 feet and height of 5 inches.
Transcript text: Find the area of a triangle with a side length of 2 feet and height of 5 inches.
Solution
Solution Steps
Step 1: Convert Height to Feet
The height of the triangle is given as \( 5 \) inches. To use the area formula, we need to convert this measurement to feet:
\[
\text{Height in feet} = \frac{5 \text{ inches}}{12} \approx 0.4167 \text{ feet}
\]
Step 2: Calculate the Area
Using the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substituting the values:
\[
\text{Area} = \frac{1}{2} \times 2 \text{ feet} \times 0.4167 \text{ feet} \approx 0.4167 \text{ square feet}
\]
Final Answer
The area of the triangle is approximately \\(\boxed{0.4167}\\) square feet.