Question

In a triangle, m = 20, n = 14, and m 1) There are no triangles possible.

2) There is only one distinct triangle possible, with m 3) There is only one distinct triangle possible, with m 4) There are two distinct triangles possible, with m

Answer 1

The question seems related to the properties of triangles and the possibility of their formation, but due to incomplete information, a direct answer cannot be provided. Mathematical principles such as the triangle inequality theorem and trigonometric identities are relevant to such problems.

Step-by-step explanation:

The question revolves around the properties and formation of triangles with given side lengths, which can be tested through mathematical principles such as triangle inequality theorem and the use of trigonometric identities. However, the information provided in the question appears to be incomplete or incorrectly formatted, particularly the representation of 'm' without a clear relationship to the sides of a triangle or angles within it. Therefore, we cannot give an accurate answer to whether zero, one, or two distinct triangles are possible. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

An example of a related concept is the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. This can help determine if a specific triangle is possible or if multiple triangles are possible based on the given conditions.