Hi

Please see this

similar question:

https://gmatclub.com/forum/what-is-the- ... l#p2027164This Question is based on a very

IMPORTANT EXCEPTION:The SSA condition (Side-Side-Angle) which specifies two sides and a non-included angle (also known as ASS, or

Angle-Side-Side) does not always prove congruence, even when the equal angles are opposite equal sides.

Specifically, SSA does not prove congruence when the angle is acute and the opposite side is shorter than the

known adjacent side but longer than the sine of the angle times the adjacent side. This is the ambiguous case. In

all other cases with corresponding equalities, SSA proves congruence.

The SSA condition proves congruence if the angle is obtuse or right. In the case of the right angle (also known

as the HL (Hypotenuse-Leg) condition or the RHS (Right-angle-Hypotenuse-Side) condition), we can calculate the

third side and fall back on SSS.

If any triangle follows laws of Congruency, it means it can be drawn Uniquely. Hence sufficient.

Akela wrote:

**Quote:**

Here we are not given the angle between the two sides: hence we can't use the Sine formula here.

We are just given two adjacent sides and non-including angle

Hi

Leo8,

Awesome explanation.

Just wanna add that SSA gives 2 solutions using the law of sines. I'm not sure if we can use the law of sines given that PQR is obtuse?

https://www.mathsisfun.com/algebra/trig ... ngles.html
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