is an acute angled triangle whose circumcenter
and the orthocenter
are respectively located at X
. The length of the side RP
is greater than length of the side PQ
is extended to intersect the side QR
is drawn perpendicular to XS
such that ST
intersects the side PQ
Determine the measure of the Angle RQP
, given that Angle SYT
In the circumstances given, angle RQP is equal to angle SYT, and is therefore also 70°.
Moving the vertices of the triangle, in other circumstances, sometimes results in angles SYT and RQP being supplementary, rather than equal. I'm not sure what circumstances these are, but one is that in which PQ exceeds PR, and angle SYT flips from approaching 45 from above that angle to 135.
Posted by Charlie
on 2008-05-04 14:00:23