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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 points)

Deadline expired on 12 October 2015.

Statistics on problem B. 4726.
 165 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 solutions. Unfair, not evaluated: 1 solution.

• Problems in Mathematics of KöMaL, September 2015

•  Támogatóink: Morgan Stanley