geometry. (1 Viewer)

[hermand]

does a line that is perpendicular to the hypotenuse in a right angled triangle, that passes through the right angle also bisect the hypotenuse? for a circle geo question. i seem to believe so but i'm not sure whether i have to prove it, or if it's a given, or if i'm completely wrong. lol. thanks.

 

[lychnobity]

does a line that bisects a right angle in a triangle also bisect the hypotenuse?

afaik, no.

 

[hermand]

afaik, no.

then how do i do this question, i'm having a massive mental blank.

LM & FG are two chords of a circle at right angles to each other, and they intersect at P. From P, a line perpendicular to GM is drawn, meeting it at S. SP is produced to meet LF at T. Show that triLTP is isosceles.

 

[study-freak]

 

[hermand]

thanks so much, i just couldn't get my head around it, i had the alphas and betas all in there but i couldn't make sense of it. thanks =]].

 

[study-freak]

No worries

 

[lychnobity]

damn, got beaten to it.

nice work.