Triangle Flooring Calculator

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Calculation Steps

Step 1: Measure the lengths of the three sides of the triangle.

Step 2: Calculate the semi-perimeter of the triangle.

Formula: $$p = \frac{a + b + c}{2}$$

Step 3: Calculate the area using Heron's formula.

Formula: $$\text{Area} = \sqrt{p \times (p - a) \times (p - b) \times (p - c)}$$

Step 4: Add the waste factor to the total area.

Formula: $$\text{Total Area} = \text{Area} \times (1 + \text{Waste Factor})$$

Step 5: Calculate the total cost by multiplying the total area by the price per square foot (if provided).

Formula: $$\text{Total Cost} = \text{Total Area} \times \text{Price per Square Foot}$$

Example

Let's say you have a triangle with sides of 10 feet, 15 feet, and 20 feet, a waste factor of 5%, and a price per square foot of $3.00.

Step 1: Calculate the semi-perimeter:

$$p = \frac{10 + 15 + 20}{2} = 22.5 \text{ ft}$$

Step 2: Calculate the area:

$$\text{Area} = \sqrt{22.5 \times (22.5 - 10) \times (22.5 - 15) \times (22.5 - 20)} = \sqrt{22.5 \times 12.5 \times 7.5 \times 2.5} \approx 72.62 \text{ sq ft}$$

Step 3: Add the waste factor:

$$\text{Total Area} = 72.62 \times (1 + 0.05) = 72.62 \times 1.05 = 76.25 \text{ sq ft}$$

Step 4: Calculate the total cost:

$$\text{Total Cost} = 76.25 \times 3.00 = 228.75$$

So, you would need 76.25 sq ft of flooring, and the total cost would be $228.75.