“SSA” means side, side, angle.
“SSA” is used when two sides and one angle of a triangle are given and we want to find the missing side angles. Consider the triangle [katex]\triangle ABC[/katex] with the side [katex]a[/katex], [katex]b[/katex] and [katex]c[/katex] and angle [katex]\alpha[/katex], [katex]\beta[/katex] and [katex]\gamma[/katex].We can observe that we are given the three sides [katex]a[/katex], [katex]b[/katex] and one angle. Therefore the figure illustrates a triangle combination which is known as a SSA triangle.
Step 1: Calculate the largest angle by using the Law of Cosine.
Step 2: To find the second angle by using the Law of Cosine.
Step 3: To find the third by using the angle sum rule of a triangle.
Here we use the Law of sine. The Law of sine is
In [katex]\triangle ABC[/katex] the sides of triangle is [katex]a[/katex], [katex]b[/katex] and [katex]c[/katex] and angle [katex]\alpha[/katex], [katex]\beta[/katex] and [katex]\gamma[/katex] the law of sines is
[katex]\frac a{\sin\alpha}=\frac b{\sin\beta}=\frac c{\sin\gamma}[/katex]