Category: Geometry

Question Number 206923 by Amidip last updated on 01/May/24 $$$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 206806 by Frix last updated on 26/Apr/24 $$\mathrm{Given}\mathrm{is}\mathrm{a}\mathrm{square}\mathrm{with}\mathrm{side}\mathrm{length}15.$$$$\mathrm{We}\mathrm{need}\mathrm{to}\mathrm{find}\mathrm{exactly}17\mathrm{smaller}\mathrm{squares}$$$$\mathrm{to}\mathrm{fill}\mathrm{the}\mathrm{big}\mathrm{one}.\mathrm{How}\mathrm{many}\mathrm{solutions}\mathrm{are}$$$$\mathrm{possible}?$$$$(\mathrm{Note}:{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{enough}\mathrm{to}\mathrm{find}\mathrm{squares}\mathrm{with}$$$$\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{their}\mathrm{areas}\mathrm{being}225,\mathrm{they}\mathrm{must}$$$$\mathrm{fit}\mathrm{into}\mathrm{the}15\times 15\mathrm{square}.\mathrm{Example}\mathrm{with}$$$$\mathrm{3}\:\mathrm{squares}:\:\mathrm{2}×\mathrm{2}+\mathrm{5}×\mathrm{5}+\mathrm{14}×\mathrm{14}=\mathrm{225}\:\mathrm{but} \…

Question Number 206750 by mr W last updated on 23/Apr/24 Answered by HeferH24 last updated on 23/Apr/24 $$Bysimilartriangles:$$$$\frac{d}{c}=\frac{x}{b};\frac{d}{c}=\frac{a}{x}$$$$\frac{a}{x}=\frac{x}{b}\iff x^2=ab\iff x=\sqrt{ab}$$…

Question Number 206729 by mr W last updated on 23/Apr/24 Answered by A5T last updated on 23/Apr/24 $$\frac{sin84}{AD}=\frac{sin54}{AC}\Rightarrow AD=\frac{ACsin84}{sin54}\dots \left(i\right)$$$$\frac{sin(?)}{AD}=\frac{sin(54-?)}{BD=AC}\Rightarrow AD=\frac{ACsin(?)}{sin(54-?)}\dots \left(ii\right)$$$$\left(i\right)\mathrm{\&}\left(ii\right)\Rightarrow \frac{sin84}{sin54}=\frac{sin(?)}{sin(54-?)}\Rightarrow ?=30°$$ Commented…

Question Number 206704 by mr W last updated on 22/Apr/24 Commented by mr W last updated on 22/Apr/24 $$find\frac{{\mathrm{\Delta }}_{XYZ}}{{\mathrm{\Delta }}_{ABC}}=?$$ Answered by…