A general triangle is specified by its three side lengths a, b, and c. Define the coordinate system so that the side a is along the x axis with the left corner of the triangle at the origin, and the side with length c is the one adjacent to the origin. Two students computed the x coordinate of the center of mass of this triangle, and obtained the following different answers:

. e 2 12\\2 Zem = o3 [3a* + ( b)'] or i . 2 2 2 P = o [3(1 + ( b }] : Apply the following checks of these results: dimensional analysis, b = , a + b = (right triangle) and a + = b* (another right triangle). Can you eliminate one or both of these results with these checks