Triangle Calculator & Triangle Area Calculator Formulas
Triangles represent the fundamental polygon of Euclidean geometry, computer graphics rendering, and structural engineering. Our triangle calculator (also searched as a triangle area calculator) solves any triangle given different combinations of known parameters:
where s = (a + b + c)/2
Area Right Triangle Calculator & Pythagorean Theorem
For a 90-degree right triangle, calculating geometry is remarkably efficient. Our area right triangle calculator computes:
Because the perpendicular legs serve as both the base and height, no separate altitude measurement is necessary.
Trig Functions Calculator & Trigonometry Angle Calculator
When side lengths or angles are unknown, our trigonometry angle calculator applies the Law of Cosines to extract all three internal angles:
Our integrated trig functions calculator evaluates $\sin$, $\cos$, and $\tan$ ratios in real time for physics vectors, surveying triangulation, and navigation.
Frequently Asked Questions (FAQ)
What is the triangle inequality theorem?
The triangle inequality states that for any valid triangle, the sum of the lengths of any two sides must be strictly greater than the length of the remaining side ($a + b > c$, $a + c > b$, $b + c > a$). Our calculator validates this condition automatically.
Can I input angles in radians or degrees?
By default, inputs and outputs use standard degrees (0° to 180°), with radians calculated in the background for trigonometric functions.