In the given figure, D is the midpoint of side B C and A E ⊥ B C. IfB C=a, A C=b A B=c, E D=x,...

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In the given figure, D is the midpoint of side B C and A E ⊥ B C. IfB C=a, A C=b A B=c, E D=x, A D=p and A E=h, prove that(i) b^2=p^2+a x+a^2/4
(ii) c^2=p^2-a x+a^2/4
(iii) (b^2+c^2)=2 p^2+1/2 a^2
(iv) (b^2-c^2)=2 a x

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