The Dimensions of Triangle Calculator is your all-in-one solver for complete triangle analysis. Instead of finding just one value, this tool takes your partial inputs—like three sides (SSS) or two sides and an angle (SAS)—and computes every missing detail: all three angles, all three sides, the area, and the perimeter.
Features
Comprehensive Output: Calculates Side A, B, C, Angle A, B, C, Area, and Perimeter simultaneously.
Multiple Input Methods: Supports SSS, SAS, ASA, and Right Triangle modes.
Law of Cosines Integration: Automatically handles complex non-right triangle math.
Visual Construction: Draws the resulting triangle to scale.
How to Use This Calculator
Select What You Know: Choose SSS if you have 3 sides, SAS for 2 sides and an angle, etc.
Enter Values: Fill in the required fields (e.g., Side a=5, Side b=6, Side c=7).
Solve: Click “Calculate Dimensions”.
Explore: View the full table of results containing every dimension of the triangle.
Formulas
The calculator uses the following mathematical principles:
Heron’s Formula: Used for Area when sides are known. $$ s = \frac{a+b+c}{2}, Area = \sqrt{s(s-a)(s-b)(s-c)} $$
Law of Cosines: For angles. $$ \cos(C) = \frac{a^2 + b^2 – c^2}{2ab} $$
Law of Sines: For side/angle relationships. $$ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} $$
Practical Applications
Fabrication: Creating templates where every angle and side must be known before cutting.
Physics: Solving vector addition problems by resolving resultants into triangle components.
Architecture: Designing non-rectangular room layouts.
Tips for Success
Triangle Inequality: In SSS mode, any two sides must add up to more than the third side.
Angle Sum: The sum of angles will always be verified to equal 180 degrees.
Precision: Inputs are assumed to be exact; results are rounded to 2 decimal places for clarity.
Frequently Asked Questions (FAQ)
What is SSS?
SSS stands for Side-Side-Side. It allows you to define a unique triangle using just its three side lengths.
Can it solve Ambiguous cases?
This tool focuses on non-ambiguous inputs (SSS, SAS, ASA). For SSA (Ambiguous case), please use our dedicated Law of Sines Calculator.
Final Words
Unlock the full geometry of any shape with the Dimensions of Triangle Calculator. It turns partial data into a complete mathematical blueprint.
