Respuesta :
Answer:
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. The third side can also be just the right length to meet the other side, making one triangle. Finally, the third side might be long enough to intersect the other side at two different points, creating two triangles.
When the third side of the triangle is too short to intersect the other side, no triangles can be formed.
When the third side is just long enough to meet the other side at one point, one triangle is formed.
When the third side is long enough to intersect the other side at two points, two triangles are formed.
Step-by-step explanation:
The law of sines can be used to determine the missing sides and angles of a triangle if the other side and angles are provided.
What is the triangle?
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
As we know, SSA is a side-side-angle congruence theorem to prove the congruency in the triangle.
In the triangle,
The sin law can be applied as:
sin(A)/a = sin(B)/b = sin(C)/c
A, B, C are the angles of the triangle
a, b, c are the side length of the triangle opposite to the angles A, B, and C respectively.
The triangle is determined by the third side. It does not form a triangle if it is too short to intersect the other side.
A triangle can also be formed if the third side is the ideal length to connect to the other two sides.
No triangles can be constructed when the third side of the triangle is too short to intersect the other side.
One triangle is created when the third side is just long enough to meet the other side in one place.
Two triangles are created when the third side is long enough to intersect the other side twice.
Thus, the law of sines can be used to determine the missing sides and angles of a triangle if the other side and angles are provided.
Learn more about the triangle here:
brainly.com/question/25813512
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