Mathematics
Free ToolLive SolversHeron's Formula

Triangle Calculator

Solve any triangle instantly. Input 3 known values (sides or angles) to automatically discover the remaining missing sides, internal angles, area, and perimeter.

Triangle 1

Input Known Values

Solved Triangle Results

Total Area

14.697

Square Unit: Sq. Meters

Side A

5

Side B

6

Side C

7

Perimeter

18

Side Length Ratio Distribution

TOTAL PERIMETER18
Side A
5 (27.8%)
Side B
6 (33.3%)
Side C
7 (38.9%)

Triangle Scaling Map

0.5x1x1.5x2x3x066.136132.272
Total Area (Quad Growth)
Total Perimeter (Linear)

Comprehensive Properties

Geometric PropertyCalculated Value
Side A5 Meters
Side B6 Meters
Side C7 Meters
Angle A (Opposite Side A)44.42°
Angle B (Opposite Side B)57.12°

Complete Guide

About This Triangle Calculator

Welcome to the most comprehensive polygon solver online: the Triangle Calculator. From ancient Egyptian surveyors plotting the borders of the Nile after a flood, to modern aerospace engineers calculating the aerodynamic drag of a delta-wing jet, triangles are the fundamental structural building blocks of our physical reality. A triangle is the simplest and most stable polygon in geometry, consisting of three straight sides and three internal angles. However, unlocking its secrets requires complex trigonometry. Whether you are an architecture student trying to find the area of an irregular plot of land, or a hobbyist building a custom roof truss, you rarely have all the measurements handed to you. This tool solves that completely. By inputting just three known values, our mathematical engine instantly reconstructs the entire shape, bypassing the need for tedious manual trigonometric equations.

Trigonometry is essentially the study of relationships. Because the sides and angles of a triangle are permanently mathematically locked to one another, knowing a few pieces of the puzzle allows a computer to generate the rest. This calculator utilizes the ancient Laws of Sines and Cosines to evaluate your inputs and instantly render the missing sides, internal angles, total area, and perimeter with flawless precision.

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