Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem B. 4755. (December 2015)

B. 4755. In a triangle $\displaystyle ABC$, the escribed circles $\displaystyle k_A$ and $\displaystyle k_B$ drawn to sides $\displaystyle CB$ and $\displaystyle CA$ touch the appropriate sides at $\displaystyle D$ and $\displaystyle E$, respectively. Show that line $\displaystyle DE$ cuts out equal chords from the circles $\displaystyle k_A$ and $\displaystyle k_B$.

Proposed by K. Williams, Szeged

(4 pont)

Deadline expired on January 11, 2016.

### Statistics:

 94 students sent a solution. 4 points: 83 students. 3 points: 7 students. 2 points: 1 student. 1 point: 2 students. 0 point: 1 student.

Problems in Mathematics of KöMaL, December 2015