Relation between the altitude to the hypotenuse and the sides (p = ab/c, 1/p^2 = 1/a^2 + 1/b^2)

1. A.
   $BC \cdot CD = AB \cdot CA$
2. B.
   $AB \cdot BC = CD \cdot CA$
3. C.
   $CA^2 + CB^2 = 2(AD^2 + CD^2)$
4. D.
   $AB \cdot CD = BC \cdot CA$

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1. A.
   $p = abc$
2. B.
   $p^2 = bc$
3. C.
   $p = \frac{bc}{a}$
4. D.
   $p = \frac{ab}{c}$

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1. A.
   $a^2 b^2 = p^2 (a^2 + b^2)$
2. B.
   $a^2 b^2 = p^2 (b^2 - a^2)$
3. C.
   $2a^2 b^2 = p^2 (a^2 + b^2)$
4. D.
   $a^2 b^2 = 2p^2 (a^2 + b^2)$

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1. A.
   I only
2. B.
   II only
3. C.
   Both I and II
4. D.
   Neither I nor II

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