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A Triangle Calculator is a specialized geometry tool that helps you solve for the missing properties of a triangle. By entering just a few known values—such as two sides and an angle, or three sides—the calculator can determine the area, perimeter, semi-perimeter, and all remaining angles and side lengths.
Whether you are a student working on trigonometry homework or an architect calculating roof pitches, this tool provides instant, accurate results using fundamental geometric theorems.
To solve a triangle, you generally need at least three pieces of information, one of which must be a side length. Common input combinations include:
Our calculator utilizes several core mathematical principles to provide solutions:
No. The sum of all angles in a triangle must be exactly 180 degrees. If a triangle had two 90-degree angles, the third angle would have to be 0, which is impossible for a geometric triangle.
This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. If this condition isn't met, the sides cannot form a triangle.
For a right triangle, the area is simply half the product of the two legs: $Area = \frac12 \times base \times height$.