How to Solve SSA Triangle

“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]

Leave a Reply

Your email address will not be published. Required fields are marked *