An Oblique Triangle is any triangle that does not have a right (90°) angle. This includes both Acute and Obtuse triangles. The Oblique Triangle Calculator is the general-purpose solver for these non-rectangular shapes, employing a combination of Law of Sines and Law of Cosines to find every missing piece of information.
Features
Universal Solver: Handles any non-right triangle configuration.
Smart Logic: Automatically switches between Law of Sines and Cosines based on available data (SSS, SAS, ASA).
Type Identification: Tells you if the resulting oblique triangle is Acute or Obtuse.
Comprehensive Result: Values for Side a, b, c, Angles A, B, C, and Area.
How to Use This Calculator
Choose Input: Select SSS, SAS, or ASA based on what you measured.
Enter Measurements: Fill in the known lengths and degrees.
Calculate: Generate the full profile of the triangle.
Visual: Use the generated diagram to verify the shape represents your problem.
Formulas
The calculator uses the following mathematical principles:
Law of Sines: $$ a/\sin A = b/\sin B = c/\sin C $$
Law of Cosines: $$ c^2 = a^2 + b^2 – 2ab\cos C $$
Angle Sum: $$ A+B+C = 180 $$
Practical Applications
Global Navigation: Solving triangular paths on a map where right angles are rare.
Vector Physics: Adding non-perpendicular force vectors.
Art & Design: Creating dynamic, non-grid based layouts.
Tips for Success
Not for Right Triangles: While it can mathematically solve them, specific Right Triangle tools are faster.
Ambiguity: This tool focuses on clear-cut SSS/SAS/ASA cases. For ambiguous SSA, see the Law of Sines calculator.
Precision: Results are rounded to two decimal places for readability.
Frequently Asked Questions (FAQ)
What does Oblique mean?
It simply means “slanting” or “not right-angled”. It is the catch-all term for Acute and Obtuse triangles.
Can I calculate area?
Yes, Heron’s formula or $$ 0.5 \cdot a \cdot b \cdot \sin(C) $$ is used to find the area automatically.
Final Words
When the world isn’t square, you need the Oblique Triangle Calculator. It is your versatile companion for solving the infinite variety of triangles that exist beyond the 90-degree corner.
