MATH CALCULATOR
SSS Triangle Calculator
Calculate the area, perimeter, and angles of a triangle using its side lengths.
What is the SSS Triangle Calculator & How does it work?
A triangle with three known side lengths (SSS) can be analyzed to find its area, perimeter, and angles. The perimeter is simply the sum of all sides. The area can be calculated using Heron’s formula: The angles can be found using the Law of Cosines:
s = frac{a + b + c}{2}
s = semi-perimeter
A = sqrt{s(s-a)(s-b)(s-c)}
A = area
cos(A) = frac{b^2 + c^2 – a^2}{2bc}
A = angle opposite side a
Parameters
Result—
Frequently Asked Questions
How do I calculate the area of a triangle with known sides?
Use Heron's formula: First, find the semi-perimeter s = (a + b + c) / 2. Then, calculate the area A = sqrt(s(s-a)(s-b)(s-c)).
What is the perimeter of a triangle with sides a, b, and c?
The perimeter is simply the sum of all sides: P = a + b + c.
How do I find the angles of a triangle when I know all three sides?
Use the Law of Cosines. For angle A opposite side a, calculate cos(A) = (b^2 + c^2 - a^2) / (2bc).
Can this calculator handle any triangle with known sides?
Yes, as long as the given sides satisfy the triangle inequality theorem (the sum of any two sides must be greater than the third side).
What is Heron's formula used for in a triangle?
Heron's formula is used to calculate the area of a triangle when all three sides are known.
How do I use this calculator if I only know two sides and an angle?
This specific calculator requires all three side lengths. For other scenarios, you might need a different type of triangle calculator.
Is there a limit to the size of the sides I can input?
No, there is no inherent limit, but very large numbers might lead to computational precision issues in some systems.
Results are for informational purposes only and do not constitute professional advice.