How do you calculate the area of a triangle with 3 sides?
This calculator uses Heron's formula. First, it finds the semi-perimeter ($s$), which is half the total perimeter: $s = (a+b+c) / 2$. Then, it applies the formula: $Area = \sqrt{s(s-a)(s-b)(s-c)}$.
Can this calculator determine the type of triangle?
Yes. Based on the side lengths, it determines if the triangle is Equilateral (all sides equal), Isosceles (two sides equal), or Scalene (no sides equal). It also identifies if it's an Acute, Right, or Obtuse triangle by analyzing its angles.
What is the Law of Cosines?
The Law of Cosines is used to find the angles of the triangle. For any triangle with sides $a$, $b$, and $c$, and the angle $C$ opposite side $c$, the law states: $c^2 = a^2 + b^2 - 2ab \cos(C)$. Our calculator rearranges this formula to solve for each angle.