Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 432. (October 2014)

K. 432. The lengths of the legs of a right-angled triangle are $\displaystyle a$ and $\displaystyle b$, the hypotenuse is $\displaystyle c$. Given that $\displaystyle a+b=4+c$, what is the relationship between the measures of the perimeter and area of the triangle?

(6 pont)

Deadline expired on November 10, 2014.

Statistics:

 104 students sent a solution. 6 points: 63 students. 5 points: 5 students. 4 points: 3 students. 3 points: 4 students. 2 points: 4 students. 1 point: 15 students. 0 point: 2 students. Unfair, not evaluated: 8 solutions.

Problems in Mathematics of KöMaL, October 2014