Geometry Problem. Post your solution in the comments box below.

Level: Mathematics Education, High School, Honors Geometry, College.

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## Friday, January 2, 2015

### Geometry Problem 1072: Triangle, Altitudes, Interior Point, Distance, Ratio

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Let S(ABC) be the area of ABC.

ReplyDeletepa / ha = S(PBC) / S(ABC)

pb / hb = S(PAC) / S(ABC)

pc / hc = S(PAB) / S(ABC)

Hence,

pa/ha + pb/hb + pc/hc = 1