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
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 40CLR
Related questions
Question
![ABC is a triangle and three squares BCDE, ACFG, ABHK are
constructed 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
%3D
Draw AMN BC, DE and AP I GK. Produce
PA and draw CQ, BR _s to it](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2cefe1e-e0f5-437b-baa9-224f803eb400%2Ff62451b6-4a7c-496a-bd1a-797b31631141%2F0ieg40y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ABC is a triangle and three squares BCDE, ACFG, ABHK are
constructed 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
%3D
Draw AMN BC, DE and AP I GK. Produce
PA and draw CQ, BR _s to it
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