Answer:
Step-by-step explanation:
A: 2 given sides and the given angle between them will produce 1 triangle.
B: The sum of angle is 190°. 0 triangles are possible.
C: An infinite number of triangles can have the given base and height.
D: The remaining side must be from the set {3, 4, 5}. 3 triangles are possible.
E: Leg lengths can be from the set {(2, 2), (2, 4), (2, 6), (2, 8), (4, 4)}. 5 triangles are possible.
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1: An infinite number of triangles can have those angle measures.
2: The remaining side must have length 2. 1 triangle is possible.
3: The perimeter constrains the remaining side length to a value too short to form a triangle. 0 triangles are possible.
4: The remaining side length must be from the set {1, 2, 3, 4, 5}. 5 triangles are possible.
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So, the matchups are ...
1 -- C (an infinite number)
2 -- A (1 triangle)
3 -- B (0 triangles)
4 -- E (5 triangles)
