Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# 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