# SSA Triangle Calculator

Table of contents

SSA triangle formulaExample: How to solve an A = 46 a = 31 b = 27 triangle?Other similar calculatorFAQsWelcome to our solve **SSA triangle calculator**, where you'll be able to **solve SSA (side-side-angle) problems** using the sine laws. This tool is also an **ambiguous triangle calculator**, as you can use it to solve the SSA ambiguity.

If you were searching for how to solve SSA triangles, you're in the right place! With this calculator, you can:

- Check if a triangle can
**exist**; - Check for SSA triangle
**congruence**; and - Know the
**ambiguous case**of your triangle (if it applies).

## SSA triangle formula

This SSA triangle calculator uses the following formula:

where the sides $a$, $b$, and $c$, and the angles $\alpha$, $\beta$, and $\gamma$ correspond to the shown in the following image:

The previous formulas correspond to the **law of sines**, and you can use them to solve SSA triangle problems.

## Example: How to solve an A = 46 a = 31 b = 27 triangle?

To solve a triangle of A = 46 a = 31 b = 27:

- In the
**solve SSA triangle calculator**, select**a / sin(α) = b / sin(β)**as the formula to use. - Input the following values in the calculator:
**Side a**: 31;**Side b**: 27; and**Angle α**: 46°.

- That's it! The unknown angle equals
**38.794°**and this SSA triangle has congruence and**only one possible solution**.

## Other similar calculator

Apart from this ambiguous triangle calculator, these other tools can be interesting to you:

### Can SSA prove triangles are congruent?

No, an **SSA triangle cannot prove a triangle is congruent**. To check if an SSA triangle is congruent, **you'll need a more detailed analysis** or, even better, use our SSA triangle calculator.

### How do I solve an SSA triangle?

To solve an SSA triangle:

- See if the info corresponds to
**two sides and an angle not in between them**. If that's the case, you may have two possible answers. - Find the value of the
**unknown angle**using sine law. **Subtract**the previous angle**from 180°**to find the possible second angle.**Add**the new angle to the originally known angle you were given at the beginning of the problem.- If their sum is less than 180°, you have
**two valid answers**. - If their sum is higher than 180°, the
**second angle is not valid**.

- If their sum is less than 180°, you have