1. What is the Triangle Area Formula?

The area of a triangle is calculated by multiplying the base by the height and then dividing by 2. This formula works for all types of triangles as long as the height is perpendicular to the base.

2. How Does the Calculator Work?

The calculator uses the triangle area formula:

Where:

• \( A \) — Area in square feet
• \( base \) — Length of the base in feet
• \( height \) — Perpendicular height in feet

Explanation: The formula essentially calculates the area of a rectangle (base × height) and then takes half of that value since a triangle is half of a rectangle.

3. Importance of Area Calculation

Details: Calculating the area of triangles is fundamental in geometry and has practical applications in construction, architecture, engineering, and land measurement.

4. Using the Calculator

Tips: Enter the base and height in feet. Both values must be positive numbers. The height must be the perpendicular distance from the base to the opposite vertex.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for all types of triangles?
A: Yes, as long as you use the correct base and corresponding perpendicular height.

Q2: What if I only know the sides of the triangle?
A: You would need to use Heron's formula or trigonometry to find the area if you don't know the height.

Q3: Can I use different units?
A: The calculator works in feet, but you can convert other units to feet before entering them.

Q4: Why is the formula base × height ÷ 2?
A: Because a triangle is always half the area of a rectangle with the same base and height.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise, but depends on the accuracy of your measurements.