SSA Similarity

In my geometry class, I was taught that SSA could not prove triangle similarity. However, after learning the law of sines, I looked into this idea of SSA not working again.

Using SSA and the law of sines, I could prove that the triangles had two angles of equal measure. Therefore, by AA, the triangles must be similar. So why was I taught that SSA CANNOT prove triangle similarity?

Easy Math Editor

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Comments

See this.

Pi Han Goh - 3 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$