Altitudes of a triangle

[shivers20]

http://img180.imageshack.us/img180/2385/geoxm1.png


Draw a line from point A to E.
Draw a line from point B to F.
Draw a line from point C to D.

Line AE intersects with line CD to create angle B'
Line BF intersects with line CD to create angle A'
Line AE intersects with line BF to create angle C'

What precisely is the relationship from B', A' and C' to ABC?

I was told that all altitudes meets at a single point in a triangle, there is no relation between A', B' & C'. Is this correct? Sounds like there is more to it. Any input will be greatly appreciated. Thankyou.

 

[Deleted member 4993]

http://img180.imageshack.us/img180/2385/geoxm1.png


Draw a line from point A to E.
Draw a line from point B to F.
Draw a line from point C to D.

Line AE intersects with line CD to create angle B'
Line BF intersects with line CD to create angle A'
Line AE intersects with line BF to create angle C'

What precisely is the relationship from B', A' and C' to ABC?

I was told that all altitudes meets at a single point in a triangle, <<<< Correct -- A', B' & C' are coincident - they are one point.


there is no relation between A', B' & C'. Is this correct? Sounds like there is more to it. Any input will be greatly appreciated. Thankyou.

 

[Loren]

The altitudes are perpendicular to the sides. In your image, it appears that only one altitude is perpendicular. If all three were perpendicular to their respective sides, they would intersect in one common point.