数学
即时、私密且免费
AAS Triangle Calculator.
Solve the missing side, angle, area, and perimeter of a triangle from two angles and a non-included side.
设备端计算无需注册
01
输入数值
输入时结果会更新。
02 / 答案
结果: C = 90.000000° · b = 8.660254 · c = 10.000000 · Area = 21.650635
Use Cases
Geometry homework and exam prep
Quickly verify your manual calculations for AAS triangle problems, ensuring you get the correct side lengths, area, and perimeter.
Example: Given Angle A=40°, Angle B=60°, and side a=10, find the missing values.
Construction and design planning
Determine unknown dimensions of triangular components when you know two angles and one side, useful for framing, trusses, or land surveys.
Example: Calculate the length of a roof rafter when you know the pitch angles and one known side.
Frequently Asked Questions
- What does AAS mean in triangle calculations?
- AAS stands for Angle-Angle-Side. It means you know two angles and a side that is not between them. This calculator uses those inputs to find the remaining side, angle, area, and perimeter.
- How do I find the missing angle in an AAS triangle?
- The sum of all angles in a triangle is always 180 degrees. So, subtract the two given angles (Angle A and Angle B) from 180 to get the third angle. The calculator does this automatically.
- Can I use this calculator if I only know two angles and the side between them?
- No, that is an ASA (Angle-Side-Angle) triangle. This calculator is specifically for AAS, where the known side is not between the two given angles. For ASA, you would need a different tool.
Tips & Common Mistakes
Tips
- Ensure Angle A and Angle B are in degrees, not radians, before entering them.
- The sum of Angle A and Angle B must be less than 180 degrees for a valid triangle.
- Side a is the side opposite Angle A. Double-check that you are entering the correct side corresponding to the given angle.
- Use the calculated area and perimeter to cross-check your own work or to plan material quantities.
Common Mistakes to Avoid
- Entering angles in radians instead of degrees, leading to incorrect results.
- Confusing which side is 'a' – it must be opposite Angle A, not just any side.
- Assuming the given side is between the two angles, which would be an ASA triangle, not AAS.
Last updated: August 13, 2026