**The extra information that the third angle is obtuse pins down the unique triangle D E F ∼ A B C. **

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**The order is important: SSA can lead to two different triangles, depending on where the angle is located relative to the two given. . **

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**Side Side Side (SSS) Angle Side Angle (ASA) Side Angle Side (SAS) Angle Angle Side (AAS) Hypotenuse Leg (HL) CPCTC. **

**Worksheets on Triangle. . . **

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**Example** \(\PageIndex{3}\): Solving for the Unknown Sides and Angles of a SSA **Triangle**. 818. .

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**Similarly we can find side a by using The Law of. Just draw and label. **

**Given two adjacent side lengths and an angle opposite one of them ( SSA o. Nonetheless, SSA is side-side-angles which cannot be used to prove two triangles to be congruent alone but is possible with additional information. **

**Explanation: For those of you who need a reminder, the****ambiguous case**occurs when one uses the law of sines to determine missing measures of a**triangle**when given two sides and an angle opposite one of those.**Look at the illustration below, we have a triangle with sides a, b, and c and angles A, B, and C, respectively. **

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**. 1. Look at the illustration below, we have a triangle with sides a, b, and c and angles A, B, and C, respectively. **

**c 2 = a 2 + b 2 – 2ab cos C. Now we can use The Law of Sines again to find a: a/sin (A) = b/sin (B) a/sin (25. com/patrickjmt !! Solving a Triangle, SSA, E. Solve ∆XYZ where Y = 50°, y = 8, and z = 9. 5. **

**The extra information that the third angle is obtuse pins down the unique triangle D E F ∼ A B C. **

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**The following diagram shows the Law of Cosines. **

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**°)×8)/sin (31°) a = 6. **

**Discover the SSA triangles and how ambiguous cases use the law of sines. **

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