Triangle Calculator
Calculated Triangle Area
6.00
| Triangle Type classification: | Right Triangle |
| Perimeter Distance: | 12.00 |
| Internal Angles (A, B, C): | 36.87°, 53.13°, 90.00° |
| Semiperimeter (s): | 6.00 |
| Triangle Type classification: | Right Triangle |
| Perimeter Distance: | 12.00 |
| Internal Angles (A, B, C): | 36.87°, 53.13°, 90.00° |
| Semiperimeter (s): | 6.00 |
A triangle is a closed two-dimensional polygon with three straight sides and three interior angles whose sum always equals exactly 180 degrees. Triangle calculators evaluate geometrical area, perimeter, and internal angles given side dimensions.
When all three side lengths (a, b, c) are provided, our calculator utilizes **Heron's Formula** to calculate total surface area without requiring altitude height:
To determine internal angular degree values, the algorithm implements **The Law of Cosines** across each side pair:
To form a valid real-world triangle, the lengths of the sides must satisfy the Triangle Inequality Theorem: the sum of any two side lengths must be strictly greater than the third side length (a + b > c, a + c > b, b + c > a).
First calculate the semiperimeter s = (a + b + c) / 2, then compute Area = √(s(s - a)(s - b)(s - c)).
The Law of Cosines rearranges to C = arccos((a² + b² - c²) / (2ab)) to yield internal degree values directly.
It states that the sum of the lengths of any two sides must exceed the length of the remaining side for a triangle to close properly.