In the diagram, $BC = 1$ cm, angle $BAC = 90^\circ$. $P$ lies on $BA$ produced such that&nbs

Question

In the diagram, $BC = 1$ cm, angle $BAC = 90^\circ$. $P$ lies on $BA$ produced such that $PB = 2AC$. Find the minimum value of $PC$, leaving your answer in the exact form.

Accepted Answer

No attained minimum as stated. $PC>1/\sqrt5\text{ cm}$, with infimum $1/\sqrt5\text{ cm}$.

Trigonometry

Trigonometry

Solution:

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