Triangle Calculator Omni Calculator

Triangle Formulas:

\[ a^2 + b^2 = c^2 \text{ (Pythagoras)} \] \[ A = \frac{1}{2}bh \text{ (Area)} \] \[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \text{ (Law of Sines)} \]

Side a:

meters

Side b:

meters

Side c:

meters

Angle A (degrees):

Angle B (degrees):

Angle C (degrees):

Side c:

Area:

Angle C:

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1. What is a Triangle Calculator Omni Calculator?

Definition: This calculator solves for unknown sides, angles, and area of triangles using various methods including Pythagoras' theorem, trigonometric functions, and the Laws of Sines and Cosines.

Purpose: It helps students, engineers, and professionals solve triangle problems with any combination of known values.

2. How Does the Calculator Work?

The calculator uses multiple formulas depending on input:

\[ a^2 + b^2 = c^2 \text{ (Right triangles)} \] \[ A = \frac{1}{2}bh \text{ (Area)} \] \[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \text{ (Law of Sines)} \] \[ c^2 = a^2 + b^2 - 2ab\cos C \text{ (Law of Cosines)} \]

Explanation: The calculator automatically determines which formulas to apply based on the known values you provide.

3. Importance of Triangle Calculations

Details: Accurate triangle calculations are essential in fields like construction, engineering, navigation, and computer graphics.

4. Using the Calculator

Tips: Enter any 3 elements of the triangle (sides or angles). The calculator will solve for the remaining elements. All sides must be > 0 and angles between 0-180°.

5. Frequently Asked Questions (FAQ)

Q1: What's the minimum information needed?
A: You need any 3 elements of the triangle, including at least one side.

Q2: Does it work for all triangle types?
A: Yes, it works for acute, right, and obtuse triangles.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places for sides and 1 decimal place for angles.

Q4: Can I calculate area with only angles?
A: No, you need at least one side length to calculate area.

Q5: What units does the calculator use?
A: Sides are in meters, angles in degrees, and area in square meters.