Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2016-part-05 — 184 problems (EN–VI) Question 105

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 105

The points $A(2,-1)$, $B(-1,-5)$ and $C(-3,-13)$ are the vertices of the triangle $ABC$. Calculate the length of the median to the side $BC$. The result should be exact and partially simplified (a surd with the root partly taken out). Reflect the points $A$ and $B$ over the abscissa axis (the $x$-axis). Denote the resulting points by $A'$ and $B'$. Draw the quadrilateral $AA'B'B$ and calculate its area.

Question illustration