\( \triangle A B C \) is a right triangle in which \( \angle C=90^{\circ} \) and \( C D \perp A ...

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\( \triangle A B C \) is a right triangle in which \( \angle C=90^{\circ} \) and \( C D \perp A B \). If \( B C=a, C A=b, A B=c \) and \( C D=p \), then
PV prove that
(i) \( c p=a b \).
(ii) \( \frac{1}{p^{2}}=\frac{1}{a^{2}}+\frac{1}{b^{2}} \).
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