Square Feet of a Triangle Calculator
Calculate the area of a triangle in square feet using multiple methods
Calculate Triangle Area
The length of the triangle's base
The perpendicular height from base to opposite vertex
Triangle Area Results
Example Calculation
Base and Height Example
Triangle: Right triangle with base 12 feet and height 8 feet
Formula: A = ½ × base × height
Calculation: A = ½ × 12 × 8 = 48 square feet
Three Sides Example
Sides: a = 6 ft, b = 6 ft, c = 6 ft (equilateral)
Semiperimeter: s = (6 + 6 + 6)/2 = 9 ft
Area: A = √[9 × (9-6) × (9-6) × (9-6)] = √[9 × 3³] = 15.59 ft²
Calculation Methods
Base & Height
A = ½ × b × h
Most straightforward method
Three Sides (SSS)
Heron's Formula
When all sides are known
SAS Method
A = ½ × a × b × sin(γ)
Two sides + included angle
ASA Method
Complex trigonometric formula
Two angles + included side
Triangle Tips
Sum of any two sides must be greater than the third side
Sum of all angles in a triangle equals 180°
1 square foot = 144 square inches
1 square yard = 9 square feet
Understanding Triangle Area Calculations
What is Triangle Area?
The area of a triangle is the amount of space enclosed by its three sides, typically measured in square units. For construction, landscaping, and real estate applications, square feet is the most common unit of measurement.
Common Applications
- •Calculating roof area for material estimates
- •Landscaping and garden planning
- •Property lot size calculations
- •Flooring and tile installation planning
Formula Variations
Base and Height
A = ½ × base × height
Heron's Formula (SSS)
A = √[s(s-a)(s-b)(s-c)]
where s = (a+b+c)/2
SAS Formula
A = ½ × a × b × sin(C)
ASA Formula
A = (a² × sin(B) × sin(C)) / (2 × sin(B+C))