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February 1, 2015

February 1, 2015

Posted by **can u do it????** on Monday, February 25, 2013 at 11:31am.

- geometry(triangle) -
**Steve**, Monday, February 25, 2013 at 12:05pmThere's probably a good geometric way to do it, but here's a trig way, using the law of cosines.

AB^2 = 6^2+15^2 - 2 * 6 * 15 * (-1/2) = 351

AC^2 = PC^2 + 15^2 - 2*PC*15(-1/2)

BC^2 = PC^2 + 6^2 - 2*PC*6(-1/2)

AC^2-BC^2 = AB^2 = 351, so

351 = 189 + 9PC

9PC = 162

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