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Geometry ProblemPost your solution in the comment box belowLevel: Mathematics Education, High School, Honors Geometry, College.Click the figure below to see the complete problem 919.
Let a denote the length of each side of the rhombus.BD bisects angle ABCLet h be the distance of D from BA or BC.Clearly MG = h = HP.(i.e.)FG - FM = EP - EHSo FG + EH = EP + FM
Rewrite the statement to FG-FM = EP-ENBoth sides equals to the height of the rhombus, thus proved.
FM + EN = FM + EN, GM = PN from being altitude of rombus(GM + MF) + EN = FM + (PN + NE)GF + EN = EP + FMTo Antonio: I think the problem I suggested a few days ago is more interesting that these problems. However, it is your right to make the selection.Erina-NJ
Hi Erina, your problem has been published at gogeometry.com/school-college/p920-triangle-angle-10-20-30-degrees.htm Thanks