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In Fig. 4.220, D is the mid-point ...

In Fig. 4.220, `D` is the mid-point of side `B C` and `A E_|_B C` . If `B C=a ,\ \ A C=b ,\ \ A B=c ,\ \ E D=x ,\ \ A D=p` and `A E=p` and `A E=h` , prove that: (FIGURE) `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+(a^2)/2`

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