Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1264. (December 2014)

C. 1264. The interior angle bisector drawn from vertex $\displaystyle A$ of triangle $\displaystyle ABC$ intersects the opposite side at point $\displaystyle P$, and the perpendicular bisector of line segment $\displaystyle AP$ intersects side $\displaystyle AC$ at point $\displaystyle Q$. Given the line segments $\displaystyle AB$, $\displaystyle AQ$, and the angle $\displaystyle BAQ$, express the area of quadrilateral $\displaystyle ABPQ$.

(5 pont)

Deadline expired on January 12, 2015.

Statistics:

 57 students sent a solution. 5 points: 52 students. 4 points: 3 students. 2 points: 1 student. 0 point: 1 student.

Problems in Mathematics of KöMaL, December 2014