Category: Geometry

Question Number 49731 by behi83417@gmail.com last updated on 09/Dec/18 $$\mathbf{one}\mathbf{vertex}\mathbf{of}\mathbf{a}\mathbf{equilateral}\mathbf{triangle}\mathbf{lies}$$$$\mathbf{on}\mathbf{one}\mathbf{vertex}\mathbf{of}\mathbf{a}\mathbf{square}\mathbf{and}\mathbf{two}$$$$\mathbf{anothers}\mathbf{lie}\mathbf{on}\mathbf{opposite}\mathbf{sides}\mathbf{of}\mathbf{square}$$$$\mathbf{such}\mathbf{that}\mathbf{triangle}\mathbf{have}\mathbf{the}\mathbf{maximum}$$$$\mathbf{area}.$$$$\mathbf{find}:$$$$1.\mathbf{ratio}\mathbf{of}:\frac{\mathbf{square}\mathbf{side}}{\mathbf{triangle}\mathbf{side}}$$$$\mathrm{2}.\boldsymbol{\mathrm{angle}}\:\boldsymbol{\mathrm{between}}\:\boldsymbol{\mathrm{square}}\:\boldsymbol{\mathrm{side}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{triangle}} \…

Question Number 49725 by behi83417@gmail.com last updated on 09/Dec/18 Commented by behi83417@gmail.com last updated on 09/Dec/18 $$ABC,isequilaterl.\frac{AD}{DB}=\frac{1}{2}$$$$\Rightarrow \measuredangle ADC=?$$ Answered by ajfour last…

Question Number 180756 by mr W last updated on 16/Nov/22 Commented by mr W last updated on 17/Nov/22 $$theareasofthreeofthesixsquares$$$$aregiven.findtheareaoftheshaded$$$$triangleandtheareasofotherthree$$$${squares}.…

Question Number 180623 by cortano1 last updated on 14/Nov/22 Answered by HeferH last updated on 14/Nov/22 $${(R+r)}^2=r^2+4r^2$$$$\frac{2r}{R}=\frac{1+\sqrt{3}}{2}$$$$$$…

Question Number 49536 by behi83417@gmail.com last updated on 07/Dec/18 Commented by behi83417@gmail.com last updated on 07/Dec/18 $$△and△areequilateraltriangleswith$$$$parallelsidesand\mathbf{PM},isthesamefor$$$$allsides.if:area(△)=32andarea(△)=6,$$$$then:valveof:\mathbf{PM}=?$$…