Math, asked by Anonymous, 1 year ago

In the given figure, triangle ABC is congruent to triangle EDA. If x and y are points lying on AD and EG respectively such that AX/XC = EY/YG = 1 .The value of DC/FY is always

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Answered by Shaizakincsem
2

<EGF = <DGC = 90° - <C


<E = <A = 90° - <C


<E = <EGF = >EF = FG


FY is the median in the triangle FEG


FY is the perpendicular to ED


FE // AC (this is the equation 1)


Join BX


BX is the median of triangle ABC


BX = 1/2 AC = XC


<XBC = <C = DAE


ABFX is cyclic quadrilateral


<<AXF = 180° - <ABF = 90°


FX is perpendicular to AC (this equation will be 2)


so from equation 1 and 2


DXFY is a rectangle  = DX = FY


DX/FY = 1


If there is any confusion please leave a comment below.

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