Questions: Find the area of a triangle with a side length of 2 feet and height of 5 inches.

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.
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Solution

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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.

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