A point S is taken on the side QR of triangle PQR such that RS = 2SQ. It is known that Angle PQR = 45o and Angle SPQ = 15o
Determine Angle PRQ.
Start with a line. Erect a perpendicular. Using a point on each line, bisect the angle, making the 45-degree angle at Q.
Using arbitrary point C on the perpendicular as a center and twice its distance to Q as a radius, construct a circle, intersecting the original line at P. Bisect CPQ. The bisector cuts the bisector of the 90-degree angle at S. Measure off twice QS from S to R.
Geometer's Sketchpad now shows angle PRQ to be 75 degrees.
Posted by Charlie
on 2007-10-29 11:47:30