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ABC and DEF are two triangles, DEF being the greater, which are so located that each pair of corresponding sides are parallel. From A, C two perpendiculars AG, CH are drawn to DF, from B, C another two perpen- diculars BK, CL are drawn to EF, and from A, B a third pair of perpendicu- lars AM, BN are drawn to DE. Show that AK² +BH² + CM² = AL² + BG² + CN². From A, B, C draw AP'P, QBQ', CR'R s to each pair of opposite parallel sides of the As

ABC and DEF are two triangles, DEF being the greater, which are so located that each pair of corresponding sides are parallel. From A, C two perpendiculars AG, CH are drawn to DF, from B, C another two perpen- diculars BK, CL are drawn to EF, and from A, B a third pair of perpendicu- lars AM, BN are drawn to DE. Show that AK² +BH² + CM² = AL² + BG² + CN². From A, B, C draw AP'P, QBQ', CR'R s to each pair of opposite parallel sides of the As

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 8E: a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its...
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ABC and DEF are two triangles, DEF being the greater, which are so located that each pair of corresponding sides are parallel. From A, C two perpendiculars AG, CH are drawn to DF, from B, C another two perpen- diculars BK, CL are drawn to EF, and from A, B a third pair of perpendicu- lars AM, BN are drawn to DE. Show that AK² + BH² + CM² = AL² + BG² + CN². From A, B, C draw AP'P, QBQ', CR'R Ls to each pair of opposite parallel sides of the As
Transcribed Image Text:ABC and DEF are two triangles, DEF being the greater, which are so located that each pair of corresponding sides are parallel. From A, C two perpendiculars AG, CH are drawn to DF, from B, C another two perpen- diculars BK, CL are drawn to EF, and from A, B a third pair of perpendicu- lars AM, BN are drawn to DE. Show that AK² + BH² + CM² = AL² + BG² + CN². From A, B, C draw AP'P, QBQ', CR'R Ls to each pair of opposite parallel sides of the As
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