Aas Triangle Calculator

Law of Sines:

\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \]

Angle C:

Side b:

Side c:

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1. What is the AAS Triangle?

An AAS (Angle-Angle-Side) triangle is one where two angles and a non-included side are known. This configuration uniquely determines a triangle, allowing calculation of all remaining sides and angles using the Law of Sines.

2. How Does the Calculator Work?

The calculator uses the Law of Sines:

\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \]

Where:

\( a, b, c \) — Sides of the triangle
\( A, B, C \) — Angles opposite to sides a, b, c respectively

Explanation: Given two angles and one side, we first find the third angle (since angles sum to 180°), then use the Law of Sines to find the remaining sides.

3. Importance of AAS Triangle Calculation

Details: Solving AAS triangles is fundamental in trigonometry, navigation, surveying, and engineering applications where partial information about a triangle is available.

4. Using the Calculator

Tips: Enter two angles (must sum to less than 180°) and one side. All values must be positive numbers. Angles should be in degrees (0-180).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between AAS and ASA?
A: AAS has two angles and a non-included side, while ASA has two angles and the included side. Both can uniquely determine a triangle.

Q2: Can this calculator work with radians?
A: Currently it only accepts degrees, but you could modify the code to handle radians by removing the degree conversion.

Q3: What if my angles sum to 180° or more?
A: The calculator will not produce results as such angles cannot form a valid Euclidean triangle.

Q4: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.

Q5: Can this solve right triangles?
A: Yes, right triangles are a special case that can be solved with this calculator (just enter 90° for one angle).