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Triangle Solver:
Instant AI Solutions
Solve any triangle problem using sides, angles, or area. Simply enter 3 known values, and our AI will calculate the rest using Sine, Cosine, and Tangent laws.
Reference Diagram
The diagram updates conceptually.
Live Activity
Right Triangle solved
2m ago
Equilateral Area calc
5m ago
Sine Rule Proof
8m ago
Enter Values
Fill at least 3 fields to unlock the solution.
Sides (Length)
Angles
Calculation Steps
VerifiedStep 1: Check Triangle Validity
Sum of angles = 180°. Triangle Inequality holds.
Step 2: Find Missing Angle
$$ \gamma = 180 – (90 + 33.69) = 56.31^\circ $$
Step 3: Calculate Area
$$ Area = \frac{1}{2} \times a \times b = 0.5 \times 5 \times 12 = 30 $$
Unlock Full Solution
See the complete algebraic proof and all 6 calculated properties.
Essential Triangle Formulas
Pythagorean Theorem
For right-angled triangles only:
$$ a^2 + b^2 = c^2 $$
Sine Rule
Relates sides to opposite angles:
$$ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} $$
Area Formula
Using base and height:
$$ Area = \frac{1}{2} \cdot b \cdot h $$
Types of Triangles
📐
Right
One 90° angle
⚠️
Isosceles
2 equal sides
🔺
Equilateral
3 equal sides
⚡
Scalene
No equal sides