Mathematics Problems and Solutions ( U . K . Z . M )

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Sines Law , Componendo and Dividendo

ABC is a triangle having BC = 2 AB . Bisect BC in D and BD in E . Prove that AD bisects $\displaystyle \angle \ CAE.$ Solution...
Area of the region: Area of equilateral triangle and area of a sector

In the figure shown , US and UT are line segments each of length 2 , and $\displaystyle \angle TUS={{60}^{\circ }}$ . Arcs TR and SR are ea...
Descartes' Circle Theorem

$ \displaystyle \alpha +\beta +\gamma =2\pi $ $ \displaystyle \cos 2\alpha +\cos 2\beta +\cos 2\gamma $ $ \displaystyle =2{{\cos }...