What is SSA triangle?
The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal. Thus assume that in triangles ABC and A’B’C’, AB = A’B’, AC = A’C’ and ∠C = ∠C’.
Why is SSA result in 0 or 2 triangles?
The “Ambiguous Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The triangles resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one triangle, two triangles, or even no triangle at all!
Is there a SSA triangle?
What Is An SSA Triangle? SSA stands for side – side – angle, and it means a triangle with known lengths of two sides and one known angle that is not between the two sides.
When using the law of sines Why can SSA case result in zero one or two triangles?
When using the law of sines, why can the SSA case result in zero, one, or two triangles? Explain. If you have SSA, then the third side determines the triangle. If it is too short to intersect the other side, then it does not form a triangle.
Does SSS congruence apply to Quadrilaterals?
SSSS Solution: These are two quadrilaterals satisfying SSSS, but they are not congruent. d. SASSS Solution: These are two quadrilaterals satisfying SASSS, but they are not congruent. A diagonal of a quadrilateral is a line segment connecting opposite vertices (so every quadrilateral has exactly two diagonals).
How do you solve a SSA triangle?
To solve an SSA triangle. use The Law of Sines first to calculate one of the other two angles; then use the three angles add to 180° to find the other angle; finally use The Law of Sines again to find the unknown side.
What is SSA in trigonometry?
“SSA” means “Side, Side, Angle”. “SSA” is when we know two sides and an angle that is not the angle between the sides.
What is the cosine of a triangle?
In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as ‘cos’.