Online Geometry Problems

Geometry Problem 1073: Triangle, Altitudes, Exterior Point, Distance, Ratio. Level: High School, SAT Prep, College, Mathematics Education

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The figure shows a triangle ABC with an exterior point P and the altitudes ha, hb, and hc. If pa, pb, and pc are the distances from P to the sides, prove that pa / ha - pb / hb + pc / hc = 1.

Infographic Geometry problem: Triangle, Altitudes, Interior Point, Distance, Ratio
 

 



 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1071-1080 | Triangle | Altitude | Email | Solution / comment. Last updated: Jan 11, 2015 by Antonio Gutierrez.