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