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Category: Geometry

ABCD-is-a-square-AC-is-a-diagonal-If-the-coordinate-of-A-C-are-5-8-and-7-4-Find-the-coordinate-of-B-and-D-

Question Number 58984 by Tawa1 last updated on 02/May/19 $$\mathrm{ABCD}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{square},\:\mathrm{AC}\:\mathrm{is}\:\mathrm{a}\:\mathrm{diagonal}.\:\mathrm{If}\:\:\mathrm{the}\:\mathrm{coordinate}\:\mathrm{of}\:\:\mathrm{A},\:\mathrm{C} \\ $$$$\mathrm{are}\:\:\left(−\:\mathrm{5},\:\mathrm{8}\right)\:\mathrm{and}\:\left(\mathrm{7},\:−\:\mathrm{4}\right)\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{coordinate}\:\mathrm{of}\:\:\mathrm{B}\:\mathrm{and}\:\mathrm{D}. \\ $$ Answered by tanmay last updated on 02/May/19 $${AC}\:{eqn}\:\left({y}−\mathrm{8}\right)=\frac{\mathrm{8}+\mathrm{4}}{−\mathrm{5}−\mathrm{7}}\left({x}+\mathrm{5}\right) \\ $$$${y}−\mathrm{8}=−{x}−\mathrm{5} \\…

Question-189891

Question Number 189891 by mr W last updated on 23/Mar/23 Commented by mr W last updated on 23/Mar/23 $${a}\:{box}\:{of}\:{size}\:\mathrm{1}×\mathrm{1}×\mathrm{1}\:{is}\:{separated} \\ $$$${by}\:{a}\:{plate}\:{as}\:{shown}.\:{what}\:{is}\:{the}\:{radius} \\ $$$${of}\:{the}\:{largest}\:{ball}\:{which}\:{can}\:{be}\:{placed} \\ $$$${inside}\:{the}\:{box}?…

Question-189894

Question Number 189894 by Rupesh123 last updated on 23/Mar/23 Answered by HeferH last updated on 24/Mar/23 $$\mathrm{congruent}\:\mathrm{chords}\:\mathrm{hold}\:\mathrm{congruent}\:\mathrm{arcs}: \\ $$$$\angle\mathrm{CED}\:=\:\mathrm{100}°/\mathrm{2}\:=\:\mathrm{50}° \\ $$ Terms of Service Privacy…