Problem B. 4726. (September 2015)
B. 4726. In a square \(\displaystyle ABCD\), points \(\displaystyle P\) and \(\displaystyle Q\) lie on sides \(\displaystyle AB\) and \(\displaystyle BC\), respectively, and \(\displaystyle BP = BQ\). Let \(\displaystyle T\) denote the foot of the perpendicular dropped from vertex \(\displaystyle B\) to the line segment \(\displaystyle PC\). Prove that \(\displaystyle \angle DTQ\) is a right angle.
(4 pont)
Deadline expired on October 12, 2015.
Statistics:
164 students sent a solution. 4 points: 109 students. 3 points: 32 students. 2 points: 5 students. 1 point: 8 students. 0 point: 8 students. Unfair, not evaluated: 2 solutionss.
Problems in Mathematics of KöMaL, September 2015