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In triangle 'ABC, angle B=90 degree . BD...

In triangle 'ABC, angle B=90 degree . BD' is perpendicular to 'AC'.
a) If 'angle A=x degree', find the measures of 'angle C' and 'angle ABD'
b) Write the ratios of the sides opposite to the equal angles in triangle 'ABD' and triangle ABC.
c) Prove that 'AB^2=AD x AC'.

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