Explain why the following triangle cannot exist. note that no angle measure are known.

In all triangles, the two smaller sides have to be greater than the largest side, that is not the case in this triangle.  

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.