Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H are the midpoints of the sides AB,CB,CD, AD simultaneously. Assume the areas of the polygonal regions AEOH, EBFO, FCGO and GDHO are a,,y and ß simultaneously. Then:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...
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Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior
point of ABCD. If E,F,G,H are the midpoints of the sides
AB,CB,CD, AD simultaneously. Assume the areas of the polygonal regions
AEOH, EBFO, FCGO and GDHO are a,,y and 3 simultaneously. Then:
Transcribed Image Text:Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E,F,G,H are the midpoints of the sides AB,CB,CD, AD simultaneously. Assume the areas of the polygonal regions AEOH, EBFO, FCGO and GDHO are a,,y and 3 simultaneously. Then:
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