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How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?

A. 0
B. 1
C. 2
D. an infinite number

1 Answer

3 votes
ANSWER:

1 unique triangle

Explanation:
There are several ways to determine if the information given about a triangle produces a unique triangle or not. One option is to provide two side lengths and the angle included between them, this is known as SAS (side-angle-side) congruence, this is not to be confused with SSA (side-side-angle) congruence. Since this is one of the groups of givens that provides a unique triangle, then the number of unique triangles that can be drawn is 1 unique triangle.
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