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...
Two externally tangent circle

Given : M is the midpoint of BC and as shown in figure . Prove: BC = 2 AF Solution Given : M is the midpoint of BC and as shown in fig...
45-45 right triangle and Pythagoras theorem

ABCD is a square and E is the intersection point of the diagonals . If N is any point on AE , show that $\displaystyle A{{B}^{2}}-B{{N}^{2}}...