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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.

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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.