ABC is a triangle and three squares BCDE, ACFG, ABHK areconstructed on its sides outside the triangle. Show that (i) AB² + AD²— АС? + AE?; (ії) GK? + СВ+ BG? + CH? = AE² + =3 (AB? + BC2 + AC²); (v) area of hexagon GKHEDF = 4 AABC+ (АВ? + ВС2+ AC?).— 2 (АВ? + AС?) ; (ії) АD?+ BF2 + CK² ; (iv) GK² + HE² + DF²%3D%3DDraw AMN BC, DE and AP I GK. ProducePA and draw CQ, BR _s to it

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ABC is a triangle and three squares BCDE, ACFG, ABHK are constructed on its sides outside the triangle. Show that (i) AB² + AD² = AC² + AE² ; (üi) GK2 + CB² + BG2 + CH² = 3 (AB? + BC2 + AC²); (v) area of hexagon GKHEDF + (AB? + BC² + AC2). 2 (AB² + AC²); (i) AD² AE? + BF2 + CK²; (iv) GK² + HE² + DF² — 4 ДАВС %D %3D %3D 4 ΔΑBC Draw AMN I BC, DE and AP GK. Produce PA and draw CQ, BR [s to it

ABC is a triangle and three squares BCDE, ACFG, ABHK are constructed on its sides outside the triangle. Show that (i) AB² + AD² = AC² + AE² ; (üi) GK2 + CB² + BG2 + CH² = 3 (AB? + BC2 + AC²); (v) area of hexagon GKHEDF + (AB? + BC² + AC2). 2 (AB² + AC²); (i) AD² AE? + BF2 + CK²; (iv) GK² + HE² + DF² — 4 ДАВС %D %3D %3D 4 ΔΑBC Draw AMN I BC, DE and AP GK. Produce PA and draw CQ, BR [s to it

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 21E: Consider the square at the right, RSTV. It has four right angles and four sides of the same length....

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