गणितीय प्रणाली सत्यापित

Triangle Solver (SSS)

Enter 3 sides to visually solve the triangle. Calculate Angles, Area, and Perimeter instantly.

अंतिम गणितीय सत्यापन: जनवरी 2026

Geometry made easy. Enter the lengths of three sides, and our **Triangle Solver** will instantly build the triangle and calculate all its unknown angles and area.

✓ Visualize Shape✓ Calculate Angles✓ Heron's Formula Area✓ Triangle Inequality Check

Side Lengths

Side a

Side b

Side c

Triangle Visualizer

Calculated Properties

Angle A

36.9°

Angle B

53.1°

Angle C

90.0°

Perimeter

12.00

Area

6.00

Triangle Solver (SSS) क्या है?

Solving Triangles (SSS)

SSS stands for **Side-Side-Side**. It is a congruence postulate that states if you know the lengths of all three sides of a triangle, the triangle is uniquely determined (its shape and size are fixed).

Using the Law of Cosines, we can then determine all interior angles.

सूत्र

Law of Cosines

Used to find angles when sides are known:

c² = a² + b² - 2ab cos(C)

Heron's Formula (Area)

Area = √{s(s-a)(s-b)(s-c)}

where 's' is semi-perimeter: (a+b+c)/2

उदाहरण गणना

The 3-4-5 Triangle

A classic Right-Angled Triangle.

Inputs: a=3, b=4, c=5
Result: Angle C will be exactly 90°.
Area: 6 square units.

Try entering 3, 4, and 5 above to verify!

What happens if sides are too short?

The Triangle Inequality Theorem states that the sum of any two sides must be greater than the third side ($a+b \gt c$). If not, the sides can't touch to form a closed shape.