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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 12 October 2015.


Statistics:

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.

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