Square Feet Triangle Calculator
Calculate triangle area in square feet using base and height, three sides, SAS, or ASA with Heron's formula and step-by-step solutions.
Square Feet of a Triangle
The square feet of a triangle is its area expressed in sq ft (ft²). Depending on what you know about the triangle, you can use the base-height formula, Heron's formula (three sides), SAS, or ASA methods. Our calculator converts units to feet and shows each step.
For more triangle tools, try our Triangle Calculator and 3 Sides Triangle Area Calculator.
Triangle Area Formulas
Base and height:
$$A = \frac{1}{2} \times b \times h$$
Three sides (Heron's formula):
$$A = \sqrt{s(s-a)(s-b)(s-c)}, \quad s = \frac{a+b+c}{2}$$
Side-angle-side:
$$A = \frac{1}{2} \times a \times b \times \sin(\gamma)$$
Worked Example
An equilateral triangle with all sides 6 ft has semiperimeter $s = 9$ ft. By Heron's formula, $A = \sqrt{9 \times 3^3} \approx 15.59$ sq ft.
Frequently Asked Questions
How do I find the square feet of a triangle with base and height?
Multiply base times height, then divide by 2. For base 10 ft and height 6 ft, area = 0.5 × 10 × 6 = 30 sq ft.
What is Heron's formula?
Heron's formula finds triangle area from three side lengths using the semiperimeter s = (a+b+c)/2 and A = √[s(s-a)(s-b)(s-c)].
Can I use this for a scalene triangle?
Yes. Use the three-sides (SSS) mode with Heron's formula when you know all side lengths but not the height.
What if the three sides cannot form a triangle?
The sum of any two sides must exceed the third side. If not, the triangle is invalid and our calculator shows an error.