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Solve Aas Triangle Calculator

AAS Triangle Formula:

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

length units
degrees
degrees

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1. What is AAS Triangle Calculation?

The AAS (Angle-Angle-Side) method calculates the unknown sides and angles of a triangle when two angles and a non-included side are known. This is one of the standard methods for solving oblique triangles.

2. How Does the Calculator Work?

The calculator uses the AAS triangle formulas:

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

Where:

Explanation: The formulas use the Law of Sines to determine the unknown sides based on the known angles and side.

3. Importance of Triangle Solving

Details: Solving triangles is fundamental in trigonometry and has applications in navigation, engineering, physics, and computer graphics.

4. Using the Calculator

Tips: Enter the known side length and two angles. All angles should be in degrees and the sum of the two known angles must be less than 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 between them.

Q2: Can this calculator work with radians?
A: The current version uses degrees, but you can convert radians to degrees before input.

Q3: What if my angles sum to 180° or more?
A: The angles of a triangle must sum to less than 180° (Euclidean geometry). The calculator will not work with invalid inputs.

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

Q5: Can this solve right triangles?
A: Yes, though specialized right triangle calculators might be more convenient for that case.

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