In a given triangle ABC inscribe the triangle A'B'C' whose sides are parallel with three given lines p ,q ,r ( lines are given as sides of a triangle).
2026-04-05 04:32:42.1775363562
Inscribe a triangle in the given triangle
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Hint:
Assume you need to inscribe in the triangle $ABC$ a triangle with lines parallel to the sides of the triangle $EDF$ (see figure).
Draw through the vertices of $\triangle EDF$ lines parallel to the sides of $\triangle ABC$. Be careful: combine the lines and vertices in such a way that the lines are outside of $\triangle EDF$. Find the intersections of these three lines and name them $A',B',C'$, respectively. Draw the lines $AA'$, $BB'$, $CC'$. They will intersect in a common point $O$.
Can you complete the solution?