Online Geometry theorems, problems, solutions, and related topics.
See complete Problem 87Area of Quadrilateral and Midpoints of Diagonals. Level: High School, SAT Prep, College geometryPost your solutions or ideas in the comments.
S BCNA =? S BCDMABM+BMC+MNC+AMN =? BMC+MNC+CND+MND (AM=MC=>ABM=BMC)BMC+AMN =? CND+MNDBMC+MNC =? CND+MND ( AM=MC=>MNC=AMN)BMNC =? MNCDBMN+BNC =? MND+NDC but BN=ND=>BMN=MND & BNC=NCD=> BMN+BNC = MND+NDC orS1 = S2S3=BMC+MNC but BMC=ABM & MNC=AMN=> S3 = 1/2 S1 BCNA =? CDANABN+BNC =? AND+NDC but ABN = AND & BNC = NCD (N midpo)ABN+BNC = AND+NDCor S1 = 1/2 S