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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 — 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
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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