SSA Congruency

Okay, so SSA congruency cannot be used to obtain a unique triangle. So I was just thinking, why it is so and I came across a condition which if is satisfied SSA congruency can be used to obtain a unique triangle.

If the side opposite to the given angle is larger than the other given side, then SSA congruency can be used to obtain a unique triangle.

Now, this is purely my own thought so there is a full possibility of it being wrong. So I want your opinions about it. Thanks in advance.

#Geometry #TriangleInequality #Triangles #Congruency #Constructions

Easy Math Editor

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Comments

Nihar Mahajan Sandeep Bhardwaj sir and others please give your views.

Ansh Bhatt - 6 years 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}`	$\boxed{123}$