on-any-trapezoid-ABCD-points-E-and-F-are-located-on-CD-so-that-AD-is-parallel-to-BE-and-AF-is-parallel-to-BC-Point-H-is-the-intersection-of-AF-and-BE-point-G-is-the-intersection-of-AC-and-BE-If-

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Question Number 126052 by fajri last updated on 16/Dec/20

$$$$$$\mathrm{on}\mathrm{any}\mathrm{trapezoid}\mathrm{ABCD}\mathrm{points}\mathrm{E}\mathrm{and}$$$$\mathrm{F}\mathrm{are}\mathrm{located}\mathrm{on}\mathrm{CD}\mathrm{so}\mathrm{that}\mathrm{AD}\mathrm{is}$$$$\mathrm{paral}l\mathrm{el}\mathrm{to}\mathrm{BE}\mathrm{and}\mathrm{AF}\mathrm{is}\mathrm{parallel}\mathrm{to}$$$$\mathrm{BC}.\mathrm{Point}\mathrm{H}\mathrm{is}\mathrm{the}\mathrm{intersection}\mathrm{of}\mathrm{AF}$$$$\mathrm{an}d\mathrm{BE}\mathrm{point}\mathrm{G}\mathrm{is}\mathrm{the}\mathrm{intersection}\mathrm{of}$$$$\mathrm{AC}\mathrm{and}\mathrm{BE}.\mathrm{If}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{AB}\mathrm{is}4\mathrm{cm}$$$$an\mathrm{d}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{CD}\mathrm{is}10\mathrm{cm}\mathrm{what}\mathrm{is}$$$$\mathrm{th}e\mathrm{ratio}\mathrm{of}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{triangle}\mathrm{AGH}\mathrm{to}$$$$\mathrm{t}h\mathrm{e}\mathrm{area}\mathrm{of}\mathrm{trapezoid}\mathrm{ABCD}?$$

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